Basics of Indefinite Integral

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

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

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:$\int \sin 2x·\cos 3xdx$

Define $dx$ in $\frac{dy}{dx}$ and find derivative of $y=x^2$.

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

Define $dx$ in $\frac{dy}{dx}$ and find derivative of $y=3x^2$.

Write the symbol used for integration and find the integral of $4x^8$.

Write the symbol used for integration and find the integral of $4x^3$.

Write the symbol used for integration and find the integral of $x^3$.

Write the symbol used for integration and find the integral of $x^2$.

Write the symbol used for integration and find the integral of $x^4$.

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 $y=3x^4$.