Soal Toeic Dan Pembahasan Pdf Download Top 5 TOEFL Practice Test Downloads. As for any other evaluative admission/proficiency test, a large number of preparation materials are available online for TOEFL iBT.
YOU HAVE ONE HOUR TO COMPLETE PARTS III, IV, AND V OF THE TEST READING In this section of the test, you will have a chance to show how well you understand written English. There are two parts to this section, with special directions for each part. Part III Directions: Question 51 – 70 are incomplete sentences. Four words or phrases, marked (A), (B), (C), (D), are given beneath each sentence.
You are to choose the one word or phrase that best completes the sentence. Then, on your answer sheet, find the number of the question and mark your answer. Example Because the equipment is very delicate, it must be handled with -( A ) c a r i n g S a m p l e a n s w e r ( B ) c a r e f u l ( A ) ( B ). (C) (D) (C) care (D) carefully The sentence should read, “Because the equipment is very delicate, it must be handled with care.” Therefore, you should choose answer (C).
As soon as you understand the directions, begin work on the questions.to several studies, 15 percent of the population under the age of 25 have taken up smoking. (A ) Ac ce pt (B ) Wr it te n (C ) Ac cor din g (D) Det erm ined 52. All keys for the store were -in a safe place behind the counter. (A ) Ke pt (B ) Gu ar d (C ) Ho ld ing (D) Displ ayed 53. Th e b uil di ng wa s t he -in the city.
(A ) Mo re (B ) Mo st (C ) Bi gg er (D ) Tal les t 54. The marketing Department had no -plan for the new product.
(A ) abl e (B) sta tute (C) spe cif ic (D ) in pl ace. The student group asked to be left al one, to car ry ou t the ir me et ing without -(A ) fa il s (B ) bo xe s (C ) at tit ude s (D) inte rru ptio n 56.
It is hard to find -people for low-paying positions. (A ) re new ed (B ) inv es te d (C ) val uab le (D) res pons ibl e 57. Air temperatures are -by wind and altitude, as well as by other factors.
(A) ele men ts (B) det erm ine (C) eff ect ive (D) infl uenc ed 58. They -to the mountain town to visit their friends. (A ) dro ve (B ) dra ft (C ) dr ie d (D) dri ven 59. Insurance providers strive to determine ways to -health plans. (A ) pa y (B ) da ta (C ) re pa ir (D) imp rov e 60. The ship entered port -three months at sea.
( A) fo r ( B) w he n (C ) af te r (D ) st or ms 61. The -matter is, the more it weighs. (A) dens er (B) tig hter (C ) old er (D ) deep er 62. The young men were -for vandalism. (A) quit ted (B) arr est ed (C) fini she d (D ) sto ppe d 63.
Bicyclist -to ride in the park. (A ) is not (B ) ca nno t go (C) not all owe d (D ) are for bid den 64. The company -in 1970. (A ) fou nde d (B ) we re fo und (C) was foun ded (D ) has bee n found ed 65.
Heavy rains -the tournament from continuing later in the afternoon. (A) canc ele d (B) incl uded (C) pre vent ed (D ) org aniz ed 66.
He was mature and -, and his busine ss decis ions we re sound. (A) conf ide nce (B) conf idin g in (C) sel f-co nfid ent (D) self-co nfidentl y 67. Staff were asked to -for any contingency. (A) pre dict (B) pre cede d (C) pre par ing (D) be p repar ed 68. After -their tickets, the man and his family entered the ballpark. (A) buyi ng (B ) bou ght (C) pur cha sed (D ) Acce pta nce 6 9. T he c om p a ny ne w s p a p e r k e e p s staff -about matters that are interest to everyone.
(A ) To ld (B ) Da te d (C) Dec ided (D ) Info rme d 70. The report said that everything was -control.
(A ) on ( B ) at (C ) ov er (D ) und er Part IV Directions: In questions 71 – 80 each sentence has four words or phrases underlined. The four underlined parts of the sentence are marked (A), (B), (C), (D). You are identify the one underlined word or phrase that should be corrected or rewritten. Then, on your answer sheet, find the number of the question and mark your answer.
Soal Latihan dan Pembahasan Integral Di susun Oleh: Yuyun Somantri1 Di dukung oleh: Portal edukasi Gratis Indonesia Open Knowledge and Education Tutorial ini diperbolehkan untuk di copy, di sebarluaskan, di print dan diperbaiki dengan tetap menyertakan nama penulis、 tanpa ada tujuan komersial 1 Lahir di Bandung tahun 1956, Lulus dari SMK Kimia melanjutkan studinya ke UPI (IKIP Bandung), lalu meneruskan studinya lagi bidang matematika dan dari tahun 1984 sampai saat ini mengajar matematika di SMA Negeri 3 Tasikmalaya 1 Integral 1. ∫ ( 3x 2 ) − 4 x + 5 dx =. Jawab: x3 − 2 x 2 + 5 x + c 2. ∫ 3 x+ 1 + 6 dx =.
X Jawab: − ∫ 3x 2 + x 2 + 6 dx = 3. 23 x 2 + 2 x 2 + 6 x + c = 2 x x + 2 x + 6 x + c 1 3. ∫ sin 2 1 ∫ (6x 2 ) + 10 x − 4 dx = 2 x 3 + 5 x 2 − 4 x + c x cos x dx =. Jawab: Misal u = sin x ⇒ du = cos x dx ∫u 5.
3 ∫ ( 3x − 1)( 2 x + 4) dx =. 1 2 du = 1 3 u3 + c = 1 3 sin 3 x + c ∫ 2 x sin x dx =. Jawab: Diferensial 2x 2 0 ∫ 2 x sin x dx = Integral Sin x -cos x -sin x − 2 x cos x − (− 2 sin x ) + c = 2 sin x − 2 x cos x + c 2 2 6. ∫ ( 3x 2 ) − 3 x + 7 dx =. 0 Jawab: 1 7.
∫ 0 x 3 − 3 2 2 x 2 + 7 x 0 = (8 − 6 + 14) − (0 − 0 + 0) = 16 1 f ( x) dx = 2 dan ∫ 2 f ( x ) dx = 2 maka 2 2 ∫ f ( x) dx =. 0 Jawab: 1 ∫ 1 2 f ( x) dx = 2 ⇔ 2 ∫ f ( x) dx = 1 2 2 1 ∫ f ( x) dx = 0 ∫ 2 f ( x) dx + 0 ∫ 1 f ( x ) dx = 1 ∫ 1 f ( x) dx − 0 ∫ f ( x) dx = 2 − 1 = 1 2 8. Tentukan luas daerah yang dibatasi oleh garis y = 4x, sumbu X dan garis x = 5! Jawab: Y 5 X ∫ 4 x dx = 2 x 5 L= 2 5 0 = 50 0 9. Tentukan luas daerah yang dibatasi oleh kurva y = − x 2 + 2 x dan sumbu X untuk 0 ≤ x ≤ 3 Jawab: Y 2 2 L= ∫ (− 0 ) x + 2 x dx − 2 3 3 ∫ (− 2 X ) x + 2 x dx = − 2 2 1 3 x + x 3 2 − − 0 1 3 x3 + x2 3 2 = 2 23 3 10. Tentukan luas daerah yang dibatasi oleh kurva y = x 2 − 6 x Jawab: dan sumbu X! Y 0 3 6 X -9 6 ( ) 2 Cara I: L = − ∫ x − 6 x dx = − 1 3 6 x 3 − 3x 2 0 = − (72 − 108) = 36 0 2 2 2 2 Cara II: yatas − ybawah = 0 − ( x − 6 x) = − x + 6 x ⇒ D = b − 4ac = 6 − 0 = 36 D D 36 36 = = 36 6a 2 6.(− 1) 2 2 2 Cara III: L = 3 pl = 3.6.9 = 36 L= 11.
Tentukan luas daerah yang dibatasi oleh kurva y = 6 x − x 2 dan y = x 2 − 2 x Jawab: y2 − y1 = (6 x − x 2 ) − ( x 2 − 2 x) = − 2 x 2 + 8 x D = 64 − 0 = 64 L= 12. 64 64 64 = 6.(− 2) 2 3 Y Jika luas yang diarsir 32, maka tentukan ordinat Puncak parabola! X 4 Jawab: L= 32 = 2 3 pl 2 3.4 y ⇔ y = 12 4 13. Tentukan isi benda putar yang terjadi jika daerah yang dibatasi oleh kurva y = x 3, sumbu X dan 0 ≤ x ≤ 2 diputar mengelilingi sumbu X sejauh 360! Jawab: Y X 2 2 V = π ∫ ( x 3 ) 2 dx = π 0 2 ∫x 6 dx = π x 1 7 7 2 0 0 = 128 π 7 14. Tentukan volume benda putar yang terjadi jika daerah yang dibatasi oleh parabola y = x2, y = 4 x 2 dan y = 4 diputar mengelilingi sumbu Y sejauh 360! Y Jawab: 4 X 4 V = π ∫ ( y) − ( 2 4 y ) dy = π 2 1 2 0 4 ∫ y− 1 4 y dy = π 0 ∫ 3 4 y dy = π y 3 8 2 4 0 = 6π 0 15.
∫ x 1 − x2 3 x 2 dx = 2 5 5 x2 + c = 2 5 x2 x + c dx =. Jawab: 1 − x 2 = u ⇒ − 2 x dx = du ⇔ x dx = − 12 du ∫ x 1 − x2 dx = − 1 ∫ u 2. − 1 2 1 du = − 12.2u 2 + c = − u + c = − 1 − x 2 + c 5 17. ∫ 12 x 2 x2 + 3 dx =. Jawab: 2 x 2 + 3 = u ⇒ 4 x dx = du ⇔ 12 x dx = 3 du 1 12 x −1 2 2 dx = u. 2 u + c = 6 2x2 + 3 + c ∫ 2 x2 + 3 ∫ 18. ∫ 18 x 2 2 x3 + 8 dx =.
Jawab: 2 x 3 + 8 = u ⇒ 18 x 2 dx = 3 du − 1 3 ∫ u 2.3 du = 6 2 x + 8 + c 19. ∫ x ( x + 4) 5 dx =. Jawab: Diferensial x = 1 6 Integral ( x + 4)5 1 1 6 ( x + 4)6 0 1 42 ( x + 4) 7 x( x + 4)6 − 1 42 ( x + 4)7 + c = 1 21 (3 x − 2)( x + 4) 6 + c 20. Jika f ‘(x) = 8x – 2 dan f(5) = 36 maka tentukan f(x)! Jawab: f ( x) = ∫ ( 8x − 2) dx = 4x2 − 2x + c f (5) = 4.52 − 2.5 + c = 36 ⇔ c = − 54 f ( x ) = 4 x 2 − 2 x − 54 21.
Diketahui f ‘(x) = (x+1)(x+2). Jika f(-3) = -3/2 maka tentukan f(x)! Jawab: f ( x) = ∫ (x 2 ) + 3 x + 2 dx = f (− 3) = − 9 + 27 2 f ( x) = 3 2 1 3 x3 + − 6+ c = − x2 + 2x 1 3 3 2 x2 + 3 2 x2 + 2x + c ⇔ c= 0 6 22. Diketahui dF = ax + b, f (0) − f (− 1) = 3 dan f (1) − f (0) = 5. Tentukan a+ b! Dx Jawab: f ( x) = ∫ (ax + b) dx = a 2 x 2 + bx + c f (0) − f (− 1) = 3 ⇒ (0 + 0 + c) − ( a2 − b + c) = 3 ⇔ − a + 2b = 6.(1) f (1) − f (0) = 5 ⇒ ( a2 + b + c ) − (0 + 0 + c) = 5 ⇔ a + 2b = 10.(2) Dari (1) dan (2) didapat a = 2 dan b = 4 Maka a + b = 6 23. ∫ sin ( 2 x − 3) dx =.
Jawab: 2 x − 3 = u ⇒ dx = ∫ sin u. ∫ (x 2 1 2 1 2 du du = − 12 cos(2 x − 3) + c ) + 1 cos x dx =. Jawab: Diferensial Integral cos x sin x -cos x -sin x x +1 2 2x 2 0 ( ) = x 2 + 1 sin x − ( − 2 x cos x) + (− 2 sin x) + c = ( x 2 − 1) sin x + 2 x cos x + c 25. ∫ ( 3x + 1) cos 2 x dx =.
Jawab: Diferensial 3x+1 3 Integral cos 2x 1 2 1 -4 0 sin 2 x cos 2 x = 1 2 (3 x + 1) sin 2 x − (− 34 cos 2 x ) + c = 1 2 (3 x + 1) sin 2 x + 3 4 cos 2 x + c 7 26. ∫ sin 3 x cos x dx =. Jawab: sin x = u ⇒ cos x dx = du ∫ sin 3 ∫u x cos x dx = 3 du = 1 4 sin 4 x + c a 27.
Tentukan nilai a yang memenuhi ∫ (2 x − 1) dx = 6 dan a 0! 1 Jawab: a ∫ (2 x − 1) dx = a 6 ⇔ x 2 − x 1 = 6 ⇔ (a − 3)(a + 2) = 0 ⇒ a = 3 1 dF ( x) 11 = x 3 + x − 3 dan F (1) = − 28. Jika maka tentukan dx 20 2 ∫ f ( x) dx 1 Jawab: ∫ (x ) 1 + c 2 x2 1 1 11 3 F (1) = − + c = − ⇔ c= − 4 2 20 10 F ( x) = 2 3 + x − 3 dx = 2 ∫ F ( x) dx = ∫ ( 1 29. Jika y = 1 3 1 4 x4 − 1 2 1 4 x4 − x− 2 − 3 10 ) dx = 1 20 x5 + 1 2x − 3 10 2 x1 = 1 1 (x 2 2 3 + 3 x ) maka ∫ dy 4 + dx =.
dx 1 Jawab: 2 y= 1 3 x3 + x − 1 ⇒ 2 2 1 2 = 2 dy 4 + dx = dx ∫ ∫ (x 1 2 ) ( dy dy 2 −2 = x2 − x− 2 ⇒ = x − x dx dx + x − 2 dx = ∫ 4+ x + x 4 −4 1 1 3 2 − 2 dx = ∫ (x 1 x3 − 1 2 x 1 = 17 6 2 ) 2 = x4 + x− 4 − 2 + x− 2 ) 2 dx 8 a 30. Jika ∫ b 13 2 x 2 dx = 0 3, ∫ (2 x − 3) dx = 4 dan a, b 0 maka tentukan nilai a 2 + 2ab + b 2 10 0 Jawab: a ∫ 1 2 2 x 3 dx = 0 5 a 3 ⇔ 103 x 3 = 0 10 b ∫ (2 x − 3) dx = 3 10 5 a3 = 3 ⇔ a=1 10 b 4 ⇔ x 2 − 3x 0 = 4 ⇒ b = 4 0 a 2 + 2ab + b 2 = 25 31. Diketahui ∫ f ( x) dx = ax 2 + bx + c dan a ≠ 0.
Jika a, f(a), 2b membentuk barisan aritmetika 1 dan f(b) = b maka tentukan nilai ∫ f ( x) dx 0 Jawab: f ( x ) = 2ax + b ⇒ f (a) = 2a 2 + b 6 2a + 1 a, f (a ),2b barisan aritmetika maka: f (a) − a = 2b − f (a ) f (b) = 6 ⇒ 2ab + b = 6 ⇔ b = 2 f ( a) = a + 2b ⇒ 2( 2a 2 + b) = a + 2b ⇒ a = 1 ∫ 0 32. Jawab: 1 f ( x) dx = ∫( 0 1 2 x + 4) dx = 1 4 1 x2 + 4x 0 = 17 4 1 4 ⇒ b= 6 = 4 2.