Teaching MPPSC Assistant Professor Mock Test Series 2025 Engineering Mathematics Calculus Definite Integrals
If In = \(\int_0^{\pi/2}\) xn sin x dx, n > 1, then In + n(n – 1)In – 2 is equal to :
1
n\((\frac{\pi}{2})^{n - 1}\)
2
\((\frac{\pi}{2})^{n - 1}\)
3
\((\frac{\pi}{2})\)
4
n \((\frac{\pi}{2})^n\)