Calculation:

asked 2021-05-26

Calculate the double integral \(\frac{6x}{1+xy}dA , R=\left[0,6\right] \times \left[0,1\right]\)

asked 2021-11-26

Calculate the double integral

\(\displaystyle=\int\int_{{{R}}}{\frac{{{4}{x}}}{{{1}+{x}{y}}}}{d}{A},{R}={\left[{0},{4}\right]}\times{\left[{0},{1}\right]}\)

\(\displaystyle=\int\int_{{{R}}}{\frac{{{4}{x}}}{{{1}+{x}{y}}}}{d}{A},{R}={\left[{0},{4}\right]}\times{\left[{0},{1}\right]}\)

asked 2021-05-12

Calculate the double integral.

\(\int \int_R \frac{4x}{1+xy}dA\)

\(R=\left[0,4\right] \times \left[0,1\right]\)

\(\int \int_R \frac{4x}{1+xy}dA\)

\(R=\left[0,4\right] \times \left[0,1\right]\)

asked 2021-09-21

Calculate the double integral.

\(\displaystyle\int\int_{{R}}{\frac{{{4}{x}}}{{{1}+{x}{y}}}}{d}{A}\)

\(\displaystyle{R}={\left[{0},{4}\right]}\times{\left[{0},{1}\right]}\)

\(\displaystyle\int\int_{{R}}{\frac{{{4}{x}}}{{{1}+{x}{y}}}}{d}{A}\)

\(\displaystyle{R}={\left[{0},{4}\right]}\times{\left[{0},{1}\right]}\)

asked 2021-10-07

Calculate the double integral. double integral \(\displaystyle{x}{\sin{{\left({x}+{y}\right)}}}{d}{A},{R}={\left[{0},\frac{\pi}{{6}}\right]}{x}{\left[{0},\frac{\pi}{{3}}\right]}\)

asked 2021-10-15

Calculate the double integral.

\(\displaystyle\int\int_{{R}}{\frac{{{1}}}{{{1}+{x}+{y}}}}{d}{A},\ {R}={\left[{1},{3}\right]}\times{\left[{1},{2}\right]}\)

\(\displaystyle\int\int_{{R}}{\frac{{{1}}}{{{1}+{x}+{y}}}}{d}{A},\ {R}={\left[{1},{3}\right]}\times{\left[{1},{2}\right]}\)

asked 2021-10-08

Evaluate the double integral \(\displaystyle{x}{y}^{{2}}\) dA, D is enclosed by x=0 and \(\displaystyle{x}={\left({1}-{y}^{{2}}\right)}^{{{\frac{{{1}}}{{{2}}}}}}\)