asked 2021-11-15

Evaluate the definite integral.

\(\int_0^1\sqrt[3]{1+7x}dx\)

asked 2021-09-25

Evaluate the definite integral.

\(\int_0^1 \sqrt[3]{1+7x}dx\)

asked 2021-09-13

Evaluate the improper integral.

\(\displaystyle{\int_{{0}}^{\infty}}{6}{e}^{{-{6}{x}}}{\left.{d}{x}\right.}\)

\(\displaystyle{\int_{{0}}^{\infty}}{6}{e}^{{-{6}{x}}}{\left.{d}{x}\right.}\)

asked 2021-06-05

Evaluate the integral by reversing the order of integration

\(\int_0^1 \int_{3y}^3 e^{x^2}dx dy\)

\(\int_0^1 \int_{3y}^3 e^{x^2}dx dy\)

asked 2021-10-15

Evaluate the integrals

\(\displaystyle{\int_{{0}}^{{\frac{\pi}{{6}}}}}\sqrt{{{1}+{\sin{{x}}}}}{\left.{d}{x}\right.}\)

\(\displaystyle{\int_{{0}}^{{\frac{\pi}{{6}}}}}\sqrt{{{1}+{\sin{{x}}}}}{\left.{d}{x}\right.}\)

asked 2021-10-06

Evaluate the integrals.

\(\displaystyle{\int_{{0}}^{{1}}}\sqrt{{{x}}}{\left(\sqrt{{{x}}}+{1}\right)}{\left.{d}{x}\right.}\)

\(\displaystyle{\int_{{0}}^{{1}}}\sqrt{{{x}}}{\left(\sqrt{{{x}}}+{1}\right)}{\left.{d}{x}\right.}\)

asked 2021-06-01

The graph of f is shown. Evaluate each integral by interpreting it in terms of areas. integral.\(\int_0^2 f(x)dx\)