CUET Mathematics MCQs Integrals

Question :  ∫ 13^x dx = ...............

a) 13^x / log13 + C

b) 13^x / x log13 + C

c) 13^x / log + C

d) 13^x / 13 log + C

Answer : A

Question:

a) π/4

b) π - 1

c) π/3

d) π/2

Answer : A

Question : ∫ x^x (1 + logx) dx is equal to

a) x^x + c

b) x^x + 1 + c

c) x^x logx + c

d) None of these

Answer : A

Question : ∫ e^x (log sinx + cot x) dx

a) e^x logsinx + c

b) e^x tanx + c

c) e^x cotx + c

d) None of these

Answer : A

Question :

a) x³/3 + C

b) 2x + c

c) 3x + c

d) None of these

Answer : A

Question :  ∫ e^x(cosx − sinx )dx is equal to

a) e^x cosx + c

b) e^x cosx - c

c) -e^x cosx - c

d) -e^x cosx + c

Answer : A

Question:

a) 0

b) 2

c) e

d) 1

Answer : A

Question:

a) 10

b) − 10

c) 100

d) 1

Answer : A

Question:

a) 2

b) 1

c) π

d) π/2

Answer : A

Question :

a) tanx + sec x + C

b) tanx - sec x + C

c) Both

d) None of these

Answer : A

Question :

a) 2(sinx + xcosΘ) + C

b) 2(sinx + 2xcosΘ) + C

c) 2(sinx −xcosΘ) + C

d) 2(sinx - 2xcosΘ)+ C

Answer : A

Question:

a) −2

b) 1

c) 3

d) 2

Answer : A

Question:

a) 0

b) 1

c) 8/15

d) 5/17

Answer : A

Question :  ∫ e^{log sinx} dx is equal to

a) − cosx + c

b) − sinx + c

c) sinx + c

d) None of these

Answer : A

Question :

a)

b)

c) log |x + sin x| +C

d) None of these

Answer : B

Question:

a) 4

b) 3

c) 2

d) 1

Answer : A

Question :

a) (cosα, sinα)

b) (-sinα, cosα)

c) (sinα, cosα)

d) None of these

Answer : A

Question:

a) 0

b) 

c)

d)

Answer : A