Integration as an Inverse Process of Differentiation

$\underset{0}{\overset{1}{\int }}\sqrt{\frac{1-x}{1+x}}dx$

$\int \frac{\left(x+2\right)dx}{\sqrt{\left(x-2\right)\left(x-3\right)}}$ is equal to:

The value of $\int \cos 2x\cos 4xdx$ is

What would be the value of $\int \sin 4x\cos 3xdx$

The value(s) of  ${\displaystyle \underset{0}{\overset{1}{\int }}\frac{x^4{(\mathrm{}\mathrm{}\mathrm{}1-x)}^4}{1+x^2}}dx$  is/are:

Evaluate the integral $\int \sqrt{1+\sin \left(\frac{x}{2}\right)}dx$

Evaluate:$\int \sin 2x·\sin 3xdx$

Evaluate:$\int \sin 2x·\cos 3xdx$

Evaluate $\int \frac{dx}{{\left(x+\sqrt{x^2-1}\right)}^2}$

Find $\int {\tan }^{3}x·d\left(\tan x\right)$

Find the integral of $\int \sin 2x\cos 3xdx$

Find the value of $\int \frac{\left(x^2+1\right)\left(x+1\right)}{\left(x-1\right)}dx$

Evaluate $I=\int {\cot }^2(3+5\mathrm{x})\mathrm{dx}$

Find $I=\int \frac{1}{\sqrt{1-\cos x}}\mathrm{dx}$

Show that for different values of integration constant $\left(c\right)$, $\int 2xdx$ represents a family of curves.

Identify integrand in $\int 4x^{8}dx$ and find the integral value.

Identify integrand in $\int 4x^{3}dx$ and find the integral value.

Identify integrand in $\int x^{3}dx$ and find the integral value.

Identify integrand in $\int x^{4}dx$ and find the integral value.

Define $dx$ in $\frac{dy}{dx}$ and find derivative of $y=3x^4$.