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NCERT Class 12- Mathematics: Exemplar Chapter β 7 Integrals Part 5
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