List of top Mathematics Questions on Integral Calculus asked in MET

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

If \(\int f(x) dx = F(x)\), then \(\int x^3 f(x^2) dx\) is equal to

The approximate value of \(\int_1^5 x^2 dx\) using trapezoidal rule with \(n = 4\) is