List of top Mathematics Questions on Integration asked in MET

The value of \(\int \frac{\cos x + \sin x}{\cos x + x \sin x} \, dx\) is

\(\int \cos^{-3/7} x \sin^{-11/7} x \, dx\) is equal to

\(\int_{1}^{4} \log_e [x] dx\) equals

The centre of the circle passing through \((0,0)\) and \((1,0)\) and touching the circle \(x^2 + y^2 = 9\), is

In a \(\triangle ABC\), if \(\begin{vmatrix} 1 & a & b \\ 1 & c & a \\ 1 & b & c \end{vmatrix} = 0\), then \(\sin^2 A + \sin^2 B + \sin^2 C\) is equal to

The value of \(\int \frac{1}{\sin\left(x - \frac{\pi}{3}\right)} dx\) is

If \( z = \tan(y + ax) + \sqrt{y} - ax \), then \( z_{xx} - a^2 z_{yy} \) is equal to

\( \int \frac{x^2 + 4x^4 + 16}{dx} \) is equal to