List of top Mathematics Questions on integral asked in MET

If \( \int f(x)\,dx = g(x) \), then \( \int \cos x \, f(\sin x)\,dx \) is equal to:

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

\( \int \frac{dx}{(x+1)\sqrt{4x+3}} \) is equal to

\( \int \left(\frac{2 - \sin 2x}{1 - \cos 2x}\right) e^{x} \, dx \) is equal to

If \( I_{n} = \int \sin^{n} x \, dx \), then \( n I_{n} - (n-1) I_{n-2} \) equals

The value of \( \int \frac{1}{1 + e^{x}} \, dx \) is:

The value of \( \int \frac{\cos 2x - \cos 2\alpha}{\cos x - \cos \alpha} \, dx \) is:

The value of \( \int \frac{dx}{x(x^{n} + 1)} \) is:

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