integral from 0 to 5 of integral from x to 2x of x^2e^{x^2}

פתרון

\int_{0}^{5} \int_{x}^{2 x} x^{2} e^{x^{2}} d y d x

\frac{24 e ^{25} + 1}{2}

עשרוני

864058792049.1293

צעדי פתרון

\int_{0}^{5} \int_{x}^{2 x} x^{2} e^{x^{2}} d y d x

\int_{x}^{2 x} x^{2} e^{x^{2}} d y = x^{3} e^{x^{2}}

= \int_{0}^{5} x^{3} e^{x^{2}} d x

\int_{0}^{5} x^{3} e^{x^{2}} d x = \frac{24 e ^{25} + 1}{2}

= \frac{24 e ^{25} + 1}{2}

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