Evaluate the integral: \(\int {x^3\over x^4+3x^2+2}dx.\)

4

(a)

Evaluate the integral: \(\int{x^2\over x^4+x^2-2}dx\)

4

(a)

Evaluate the integral: \(\int {sin^6\ x+cos^6\ x\over sin^2\ x\ cos^2\ x}dx\)

4

(a)

Evaluate the integral: \({\sqrt x\over \sqrt{a^3-x^3}}dx\)

4

(a)

Evaluate the following integral
\(\int \frac{x+5}{3 x^{2}+13 x-10} d x\)

4

(a)

Evaluate the following integral.
\(\int \frac{x^{3}}{x^{4}+3 x^{2}+2} d x\)

4

(a)

Evaluate the following integral.
\(\int \frac{(2 x-1)}{(x-1)(x+2)(x-3)} d x\)

4

(a)

Evaluate the following as limit of sum 
\(\int_{-1}^{2}(7 x-5) d x\)

4

(a)

Evaluate the following integral.
\(\int_{0}^{1} x\left(\tan ^{-1} x\right)^{2} d x\)

4

(a)

Evaluate the following integral.
\(\int_{\pi / 3}^{\pi / 2} \frac{\sqrt{1+\cos x}}{(1-\cos x)^{5 / 2}} d x\)

4

(a)