List of top Mathematics Questions on integral asked in AIEEE

If $\frac{d}{dx}G\left(x\right) = \frac{e^{tan\,x}}{x},x\in\left(0, \pi/2\right),$ then $\int\limits^{1/2}_{1/4} \frac{2}{x}. e^{tan\left(\pi\,x^2\right)}dx $ is equal to

$\int \limits \frac {sec^2x}{(secx+tan \, x)^{9/2}}dx $ equals to (for some arbitrary constant K)

If $[x]$ is the greatest integer $ \le x,$ then the value of the integral $\int\limits^{0.9}_{-0.9}\left(\left[x^{2}\right]+\left(\frac{2-x}{2+x}\right)\right)dx$ is

If the integral $\int \frac{5\,tan\, x }{tan \,x - 2} dx = x + a \ell n |sin x - 2 cos x| + k$, then $a$ is equal to :

The value of the integral $\int\limits^{0.9}_{{0}}[x - 2 [x]] dx ,$ where $[.]$ denotes the greatest integer function is

Let [.] denote the greatest integer function then the value of $\int\limits^{1.5}_{0}x \left[x^{2}\right]$ dx is : .

$\int\limits^{-\pi/2}_{{-3\pi/2}}$$\left[\left(x+\pi\right)^{3}+cos^{2} \left(x+3\pi\right)\right]dx$ is equal to :

The value of the integral $I=\int\limits^{6}_{{3}}$$\frac{\sqrt{x}}{\sqrt{9-x}+\sqrt{x}}dx$ is :

$\int\left\{\frac{\left(log \,x -1\right)}{1+\left(log \,x\right)^{2}}\right\}^{2}dx$ is equal to :

If $f (a + b - x) = f (x)$, then $\int\limits^{b}_{{a}}x\, f\, (x) \,dx$ is equal to