MCA Entrance Previous Year Question Bank

Find the area bounded by the curve y $=||x-1|-2|$ with X-axis

The value of ${\int }_0^{\pi }x({\sin }^{4}x{\cos }^{4}x)dx$ is

Let the equation of a curve passing through point $(0,1)$ be given by $y=\int x^2{e}^{x^3}dx$. If the equation of curve is written in the form $x=f(y)$, then $f(y)$ is

${\int }_0^{1000}{e}^{x-[x]}dx$ is

The point of inflection for 𝑓(𝑥)=3𝑥⁴−4𝑥³ are

Evaluate the following integral: ${\int }_{-\pi /2}^{\pi /2}\log \left(\frac{2-\sin x}{2+\sin x}\right)dx$

Evaluate the following integral: ${\int }_{-2}^2\frac{3x^2+2|x|+1}{x^2+|x|+1}dx$

The area bounded by the curves $y^2=4x$ and $y=x$ is equal to

${\int }_0^{\pi }{\sin }^{2}xdx=$

The absolute maximum value of $y=x^3-3x+2$ in $0\le x\le 2$ is