NCERT Class 12-Mathematics: Exemplar Chapter – 7 Integrals Part 5 (For CBSE, ICSE, IAS, NET, NRA 2022)

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Question 18:

Find

Answer:

Integrating by parts, we have

Now

Thus,

Therefore,

Question 19:

Evaluate

Answer:

We can redefine

Therefore,

Objective Type Questions

Choose the Correct Answer from the Given Four Options in Each of the Examples from 20 to 30

Question 20:

is equal to

(A)

(B)

(C)

(D)

Answer:

(A) Is the correct answer since

. Here .

Question 21:

(A)

(B)

(C)

(D)

Answer:

(C) Is the correct answer, since

Question 22:

If then

(A)

(B)

(C)

(D)

Answer:

C) is the correct answer,

Since differentiating both sides, we have

giving . Comparing coefficients on both sides, we get and . This verifies

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