Question

The value of \(\int_0^\infty x^7 e^{-x^2} dx\) is

• A. 3
• B. 2
• C. 1
• D. 4

Hint:

For integrals of the form \(\int_{0}^{\infty} x^n e^{-x^2} dx\), use substitution \(t = x^2\) and the gamma function.
Remember \(\Gamma(n+1) = n!\) for integers.

Answer 1

The Correct Option is A