The pdf contains multiple type questions on the topic INTEGRALS.
The pdf contains the most important questions and covers all the topics in depth.
Answers have been also given on the last page.
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a) 𝑙𝑜𝑔|𝑥 2 − 3𝑥 + 2| + 𝑐
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1
b) 𝑙𝑜𝑔|𝑥 2 − 3𝑥 + 2| + 𝑐
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1
c) 8 𝑙𝑜𝑔|𝑥 2 − 3𝑥 + 2| + 𝑐
d) 𝑙𝑜𝑔|𝑥 2 − 3𝑥 + 2| + 𝑐
17. ∫ 𝑠𝑖𝑛2 x dx =
a) (1/2) { x-(sin2x)/2) + c
a) (1/3) { x-(sin2x)/2) + c
b) (-1/2) { x-(sin2x)/2) + c
c) (1/4) { x-(sin2x)/2) + c
18. ∫ 𝑥cos3(𝑥2)sin(𝑥2)𝑑𝑥 =
a) –(1/8)cos4(𝑥2) + 𝑐
b) -cos4(𝑥2) + 𝑐
c) cos4(𝑥2) + 𝑐
d) -(1/2) cos4(𝑥2) + 𝑐
19. ∫ sin(3x)cos(2x)𝑑𝑥=
a) (½)[−{cos(5x)/ 5}− cos𝑥] + 𝑐
b) [−{cos(5x)/ 5}− cos𝑥] + 𝑐
c) cos(5x)/ 5}− cos𝑥] + 𝑐
d) [ {cos(5x)/ 5}− cos𝑥] + 𝑐
20. ∫ 2𝑥 dx = f(x) + c , then f(x) =
a) 2𝑥
b) 2𝑥 𝑙𝑛2
c) 2𝑥 /𝑙𝑛2
d) 2𝑥+1 /(x+1)
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