Our aim is to evaluate the integral given below

Macsen Nixon

Answered 2021-08-12
Author has **23542** answers

asked 2021-08-14

Evaluate the following integrals or stat that they diverge.

\(\displaystyle{\int_{{{0}}}^{{\infty}}}{e}^{{-{a}{x}}}{\left.{d}{x}\right.},{a}{>}{0}\)

\(\displaystyle{\int_{{{0}}}^{{\infty}}}{e}^{{-{a}{x}}}{\left.{d}{x}\right.},{a}{>}{0}\)

asked 2021-08-15

\(\int^0_{-\infty}\frac{dx}{\sqrt[3]{2-x}}\)

asked 2021-11-04

Improper integrals Evaluate the following integrals or stat that they diverge.

\(\displaystyle{\int_{{{1}}}^{{\infty}}}{\frac{{{3}{x}^{{{2}}}+{1}}}{{{x}^{{{3}}}+{x}}}}{\left.{d}{x}\right.}\)

\(\displaystyle{\int_{{{1}}}^{{\infty}}}{\frac{{{3}{x}^{{{2}}}+{1}}}{{{x}^{{{3}}}+{x}}}}{\left.{d}{x}\right.}\)

asked 2021-08-15

\(\displaystyle\int^{2}_{{-{2}}}{\frac{{{d}{p}}}{{\sqrt{{{4}-{p}^{{{2}}}}}}}}\)

asked 2021-12-16

Evaluate the following integrals or show that the integral diverges.

\(\displaystyle{\int_{{-\infty}}^{{\infty}}}{\frac{{{x}^{{{3}}}}}{{{1}+{x}^{{{8}}}}}}{\left.{d}{x}\right.}\)

\(\displaystyle{\int_{{-\infty}}^{{\infty}}}{\frac{{{x}^{{{3}}}}}{{{1}+{x}^{{{8}}}}}}{\left.{d}{x}\right.}\)

asked 2021-05-29

Evaluate the ff, improper integrals.

\(\int_{1}^{\infty}\frac{1}{x^{3}}dx\)

\(\int_{1}^{\infty}\frac{1}{x^{3}}dx\)

asked 2021-08-06

The integrals converge. Evaluate the integrals without using tables.

\(\displaystyle{\int_{{-\infty}}^{{\infty}}}{\frac{{{2}{x}{\left.{d}{x}\right.}}}{{{\left({x}^{{{2}}}+{1}\right)}^{{{2}}}}}}\)

\(\displaystyle{\int_{{-\infty}}^{{\infty}}}{\frac{{{2}{x}{\left.{d}{x}\right.}}}{{{\left({x}^{{{2}}}+{1}\right)}^{{{2}}}}}}\)