Integral Calculus-Integration by Substitution (BITSAT Mathematics): Questions 1 - 6 of 11

Get 1 year subscription: Access detailed explanations (illustrated with images and videos) to 348 questions. Access all new questions we will add tracking exam-pattern and syllabus changes. View Sample Explanation or View Features.

Rs. 250.00 or

Question number: 1

» Integral Calculus » Integration by Substitution

MCQ▾

Question

If I1=0e2dxlogx and I2=12exxdx , then –

Choices

Choice (4) Response

a.

2I1=I2

b.

I1=2I2

c.

I1=I2

d.

All of the above

Question number: 2

» Integral Calculus » Integration by Substitution

MCQ▾

Question

If I1=x111+t2dt,I2=11x11+t2dt;x>0 , then –

Choices

Choice (4) Response

a.

I1=I2

b.

I2>I1

c.

I1>I2

d.

All of the above

Question number: 3

» Integral Calculus » Integration by Substitution

MCQ▾

Question

If integral

In=0π4tannxdx,nN,

Then In+2+In equal –

Choices

Choice (4) Response

a.

1n+2

b.

1n

c.

1n1

d.

1n+1

Question number: 4

» Integral Calculus » Integration by Substitution

MCQ▾

Question

154cosxdx=_

Choices

Choice (4) Response

a.

23tan1(3tanx2)

b.

23tan1(tanx2)

c.

29tan1(3tanx2)

d.

Question does not provide sufficient data or is vague

Question number: 5

» 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: 6

» 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

f Page
Sign In