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asked 2021-09-13

The graph of f is shown. Evaluate each integral by interpreting it in terms of areas. integral.\(\displaystyle{\int_{{0}}^{{2}}}{f{{\left({x}\right)}}}{\left.{d}{x}\right.}\)

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 2021-09-25

Evaluate the definite integral.

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

asked 2021-09-07

Evaluate the integral by reversing the order of integration

\(\displaystyle{\int_{{0}}^{{1}}}{\int_{{{3}{y}}}^{{3}}}{e}^{{{x}^{{2}}}}{\left.{d}{x}\right.}{\left.{d}{y}\right.}\)

\(\displaystyle{\int_{{0}}^{{1}}}{\int_{{{3}{y}}}^{{3}}}{e}^{{{x}^{{2}}}}{\left.{d}{x}\right.}{\left.{d}{y}\right.}\)

asked 2021-11-15

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 2021-05-04

Evaluate the definite integral.

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

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