List of top Mathematics Questions on integral asked in KEAM

$\int\frac{1}{x+\sqrt{x}}dx=$

$\int\frac{1}{x(\log x)}dx=$

$\int e^{x}\sec x(1+\tan x)dx=$

$\int\sec^{2}(5x-1)dx=$

$\int 3x^{2}(x^{3}+1)^{10}dx=$

$\int\frac{2x+\sin 2x}{1+\cos 2x}dx=$

$\int\frac{1}{x^{2}-25}dx=$

If \( \int f(x)\cos x \, dx = \frac{1}{2}\{f(x)\}^2 + c \), then \( f\left(\frac{\pi}{2}\right) \) is

\( \int \frac{x e^x}{(1+x)^2} \, dx = \)

\( \int \frac{(\sin x + \cos x)(2 - \sin 2x)}{\sin^2 2x} \, dx \)

\( \int \frac{x e^x}{(1+x)^2} \, dx = \)

\( \int \frac{(\sin x + \cos x)(2 - \sin 2x)}{\sin^2 2x} \, dx \)

If \( \int f(x)\cos x \, dx = \frac{1}{2}\{f(x)\}^2 + c \), then \( f\left(\frac{\pi}{2}\right) \) is

\( \int \frac{x e^x}{(1+x)^2} \, dx = \)

The integral \( \int \frac{dx}{e^x + e^{-x} + 2} \) is equal to:

The integral \( \int \frac{x+1}{x^{1/2}} \, dx \) is equal to:

$\int \frac{1}{8 \sin^2 x + 1}\, dx$ is equal to:

$\int (\sec x)^m (\tan^3 x + \tan x) dx$ is equal to:

$\int \frac{1}{7} \sin\left(\frac{x}{7} + 10\right)\, dx$ is equal to:

$\int \left( \frac{x-a}{x} - \frac{x}{x+a} \right)\, dx$ is equal to:

$\int x^4 e^{x^5} \cos\left(e^{x^5}\right)\, dx$ is equal to:

$\int \frac{2x + \sin 2x}{1 + \cos 2x}\, dx$ is equal to:

$\int \frac{1}{\sin x \cos x}\, dx$ is equal to:

\( \int \frac{(x+1)^2}{x^2+1} \, dx = \)