Basics of Indefinite Integrals

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

$\int \frac{\left(x+2\right)dx}{\sqrt{\left(x-2\right)\left(x-3\right)}}$ 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:$\int \sin 2x·\cos 3xdx$

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

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.

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 $\int x^{2}dx$ and find the integral value.

If $\int \frac{1-5{\sin }^{2}x}{{\cos }^{5}x{\sin }^{2}x}dx=\frac{f\left(x\right)}{{\cos }^{5}x}+C$, then $f\left(x\right)$ is equal to

Suppose $f$ and $g$ are integrable on $\left[a, b\right],$ then $f+g$ is integrable on _______

$\int \frac{\sec x}{\sec x+\tan x} dx$ is equal to