Question

Solve using the Beta function. \(\int_0^1 x^{-2} (1-x)^{-3} dx. \)

(a) Can be solved using a Beta function with m = -1 and n = -2

(b) Can be solved using a Beta function with m = 1 and n = -2

(c) Can be solved using a Beta function with m = -1 and n = 2

(d) Can’t be solved using the Beta function

This question was posed to me in final exam.

Asked question is from Special Functions topic in section Special Functions – Gamma, Beta, Bessel and Legendre of Engineering Mathematics

Answer 1

The correct choice is (d) Can’t be solved using the Beta function

The best I can explain: This function can’t be solved using the Beta function as m and n have negative values. Beta function can’t be solved if m and n are negative numbers.