NCERT Class 12-Mathematics: Exemplar Chapter –7 Integrals Part 6

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Question 23:

is equal to

(A)

(B)

(C)

(D)

Answer:

(B) Is the correct answer?

Since by putting, we get

Question 24:

If and g are continuous functions in satisfying and, then is equal to

(A)

(B)

(C)

(D)

Answer:

B is the correct answer. Since

Or

Question 25:

If, then a is equal to

(A)

(B)

(C)

(D)

Answer:

(C) is the correct answer, since which gives

Question 26:

(A)

(B)

(C)

(D)

Answer:

(B) is the correct answer, since

Question 27:

(A)

(B)

(C)

(D)

Answer:

(B) Is the correct answer, since

Therefore,