Q6 of 380 Page 658

Evaluate the following integrals:
(i)

(ii)

(i)

⇒

1-cos2x=2sin²x and 1+cos2x=2cos²x

⇒

Now sec²x-1=tan²x

⇒

⇒tanx-x+c

Ans: tanx-x+c

(ii)

⇒

1-cos2x=2sin²x and 1+cos2x=2cos²x

⇒

Now cosec²x-1=cot²x

⇒

⇒-cotx-x+c

Ans: -cotx-x+c

Evaluate the following integrals:

(i)

(ii)

Evaluate the following integrals:

Evaluate the following integrals:(i) (ii)