Find : \(\int { \frac { sinx }{ sin^{ 3 }x+cos^{ 3 }x } } dx\)

6

(a)

Evaluate : \(\int { \frac { 8 }{ (x+2){ (x }^{ 2 }+4) } } dx\)

6

(a)

Find : \(\int { \frac { sin^{ -1 }\sqrt { x } -cos^{ -1 }\sqrt { x } }{ sin^{ -1 }\sqrt { x } +cos^{ -1 }\sqrt { x } } } dx,x\epsilon \left[ 0,1 \right] \)

6

(a)

Evaluate : \(\int { \frac { { x }^{ 2 }+x+1 }{ (x+2)({ x }^{ 2 }+1) } } dx\)

6

(a)

Evaluate: \(\int _{ 2 }^{ 5 }{ \left( { x }^{ 2 }+3 \right) } dx\)

6

(a)

Evaluate: \(\int _{ 0 }^{ \frac { \pi }{ 2 } }{ \frac { \cos ^{ 2 }{ x } }{ \cos ^{ 2 }{ x } +4\sin ^{ 2 }{ x } } } dx.\)

6

(a)

Evaluate : \(\int _{ 0 }^{ 2 }{ \left( { x }^{ 2 }+3 \right) dx } \) as limit of sums.

6

(a)

Evaluate : \(\int _{ 0 }^{ 4 }{ \left( x+{ e }^{ 2x } \right) } dx\) as the limit of a sum.

6

(a)

Evaluate : \(\int _{ 1 }^{ 3 }{ \left( { 3x }^{ 2 }+1 \right) } dx\) by the method of limit of sums.

6

(a)

Evaluate : \(\int _{ \frac { \pi }{ 6 } }^{ \frac { \pi }{ 3 } }{ \frac { dx }{ 1+\sqrt { \cot { x } } } } \)

6

(a)