Now we have

Question

asked 2021-08-14

Evaluate the iterated integral.

\(\displaystyle{\int_{{-{1}}}^{{{2}}}}{\int_{{{0}}}^{{{\frac{{\pi}}{{{2}}}}}}}{\left({y}{\sin{{x}}}\right)}{\left.{d}{x}\right.}{\left.{d}{y}\right.}\)

\(\displaystyle{\int_{{-{1}}}^{{{2}}}}{\int_{{{0}}}^{{{\frac{{\pi}}{{{2}}}}}}}{\left({y}{\sin{{x}}}\right)}{\left.{d}{x}\right.}{\left.{d}{y}\right.}\)

asked 2021-08-13

Evaluate the following iterated integrals.

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

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

asked 2021-08-12

Evaluate the following iterated integrals.

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

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

asked 2021-05-28

Evaluate the iterated integral

\(\int_{-1}^{2}\int_{0}^{\frac{\pi}{2}}\)

\(\int_{-1}^{2}\int_{0}^{\frac{\pi}{2}}\)