NCERT Class 12-Mathematics: Exemplar Chapter –7 Integrals Part 4

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Question 13:

Find

Answer:

Question 14:

Find

Answer:

We have

Put

Therefore,

Long Answer (L.A.)

Question 14:

Evaluate

Answer:

Let . Then

Comparing coefficients, we get

Therefore,

Question 16:

Answer:

Now

Put Therefore

Again,

Thus

Question 17:

Show that

Answer:

Thus, we get

Hence,