Integral Calculus (BITSAT Mathematics): Questions 8 - 12 of 32

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Question number: 8

» Integral Calculus » Integral as Limit of a Sum

MCQ▾

Question

If 14f(x)dx=4 and 24(3f(x))dx=7 , then the value of 12f(x)dx is –

Choices

Choice (4) Response

a.

3

b.

2

c.

5

d.

None of the above

Question number: 9

» Integral Calculus » Integration by Substitution

MCQ▾

Question

11+sinx+cosxdx=_

Choices

Choice (4) Response

a.

log 1+tanx2

b.

12log 1+tanx2

c.

log 1+sinx+cosx

d.

2log 1+tanx2

Question number: 10

» Integral Calculus » Integration by Substitution

MCQ▾

Question

sinx+cosx9+16sin2xdx is equal to –

Choices

Choice (4) Response

a.

15sin1[4sinxcosx5]

b.

14sin1[4sinxcosx5]

c.

14log sinx cosx+149+16sin2x

d.

None of the above

Question number: 11

» Integral Calculus » Properties of Definite Integrals

MCQ▾

Question

If f(ax)=f(x) , then 0axf(x)dx is equal to –

Choices

Choice (4) Response

a.

a0af(x)dx

b.

a20af(x)dx

c.

a220af(x)dx

d.

All of the above

Question number: 12

» Integral Calculus » Evaluation of Definite Integrals

MCQ▾

Question

1f(x)dx=log(f(x))2+C then, f(x) is equal to

Choices

Choice (4) Response

a.

x2+α

b.

x2+α

c.

x+α

d.

2x+a

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