List of top Mathematics Questions on integral asked in WBJEE

The solution of $\frac{dy}{dx} = \frac{y}{x}+\tan \frac{y}{x}$ is

The area (in sq. units) enclosed by y = 1, 2x + y = 2 and x + y = 2 is

If one of the cube roots of 1 be $\omega$, then$\left|\begin{array}{ccc}1& 1+{\omega }^2& {\omega }^2\\ 1-i& -1& {\omega }^2-1\\ -i& -1+\omega & -1\end{array}\right|=$

The number of solutions of the equation tan x + sec x = 2 cos x and cos x ≠ lying in the interval (0, 2π) is

The equation of the plane parallel to the planes x + 2y + 3z – 5 = 0 and x + 2y + 3z – 7 = 0 and equidistant from them is

The standard deviation of n observations $x_1,x_2,\dots x_n$ is 2 If $\sum _{i=1}^n{x}_i=20$ and $\sum _{i=1}^n{x}_i^2=100,$ then $n$ is equal to

Evaluate the integral: ${\int }_1^2\log xdx$

The locus of the middle points of all chords of the parabola y² = 4ax passing through the vertex is 

4 boys and 2 girls occupy seats in a row at random. Then the probability that the two girls occupy seats side by side is