List of top Mathematics Questions on integral asked in KEAM

\( \int x^7 (x^8 + 1)^{-3/4} \, dx = \)
\( \int \frac{\sin^{-1}x}{\sqrt{1-x^2}} \, dx = \)
\( \int \frac{2x^2 + 4x + 3}{x^2 + x + 1} \, dx = \)
\(\int \frac{1}{x(1 + x^{4})} \, dx\) is equal to
\(\int \frac{\sec^2(\sqrt{2x+5})}{\sqrt{2x+5}} \, dx =\)
\(\int \frac{x}{5-x^2} \, dx =\)
\(\int \frac{e^{x}}{e^{-x} + 3e^{x}} dx =\)
\(\int \frac{\sin 4\theta}{\sin 2\theta} \, d\theta =\)
Evaluate the following integral: \[ \int e^x \left[\frac{1}{1+x(1+x)^2}\right] dx \]
Evaluate the following integral: \[ \int_{-\frac{\pi}{2}}^{\frac{\pi}{2}} \left( x^4 + x^3 + x \right) \cos x \, dx \]
Evaluate the integral: \[ \int \frac{\sin(2x)}{\sin(x)} \, dx \]
Evaluate the integral: \[ \int \frac{\cos \theta}{2 - \sin^2 \theta} \, d\theta \]
Find the integral: \[ \int \left( \sin^{-1} \sqrt{x} + \cos^{-1} \sqrt{x} \right) \, dx \]
Evaluate the integral: \[ \int \frac{\log(1+x)}{1+x} \, dx \]
Evaluate the integral: \[ \int_{-3}^{3} \left\lfloor x \right\rfloor \, dx \]
The integral \( \int e^x \sec x (1 + \tan x) \, dx \) is equal to:
The integral \( \int \frac{dx}{1 + e^x} \) is:
The integral \( \int \frac{1 + x^2 + x^4}{(1 - x^3)(1 + x^3)} \, dx \) is equal to:
The integral \( \int \sqrt{1 + \sin 2x} \, dx \) is equal to:
The integral \( \int xe^x \, dx \) is equal to:
The integral \( \int_5^{10} \left\lfloor x \right\rfloor dx \) is equal to (where \( \left\lfloor x \right\rfloor \) denotes the greatest integer function):
The integral \( \int_{-2}^4 x^2 |x| \, dx \) is equal to:

The integral \(\int e^x \sqrt{e^x} \, dx\) equals:

The integral \( \int \tan^5 x \sec^2 x \, dx \) is equal to:
\(\int\frac{sin^{25}x}{cos^{27}x}dx\) is equal to