Reduction Formula

{\LARGE Question:}

Derive the reduction formula below:

\displaystyle \int x^n \cdot e^{ax} \,dx = \frac {1}{a} x^{n} e^{ax} -\frac{n}{a}\int  x^{n-1} \cdot e^{ax} \,dx


{\LARGE Solution:}

Author: ascklee

Dr. Lee teaches at the Wee Kim Wee School of Communication and Information at the Nanyang Technological University in Singapore. He founded The Mathematics Digital Library in 2013.

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