Q7 of 380 Page 658

Evaluate the following integrals:
(i)

(ii)

⇒

1-cosx=2sin²x/2 and 1+cosx=2cos²x/2

⇒

Now sec²(x/2)-1=tan2(x/2)

⇒

⇒2tan(x/2)-x+c

Ans: 2tan(x/2)-x+c

(ii)

⇒

1-cosx=2sin²x/2 and 1+cosx=2cos²x/2

⇒

Now cosec² (x/2)-1=cot² (x/2)

⇒

⇒-2cot(x/2)-x+c

Ans: ⇒-2cot(x/2)-x+c

Evaluate the following integrals:

(i)

(ii)

Evaluate the following integrals:

Evaluate the following integrals:(i) (ii)