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人気のある微分積分 >

integral from-a to a of integral from 0 to 1 of sin(y)e^{x^2}

解

\int_{- a}^{a} \int_{0}^{1} sin (y) e^{x^{2}} d x d y

解

0

解答ステップ

\int_{- a}^{a} \int_{0}^{1} sin (y) e^{x^{2}} d x d y

\int_{0}^{1} sin (y) e^{x^{2}} d x = sin (y) \frac{π}{2} erfi (1)

= \int_{- a}^{a} sin (y) \frac{π}{2} erfi (1) d y

\int_{- a}^{a} sin (y) \frac{π}{2} erfi (1) d y = 0

= 0

人気の例

f(x)=xsqrt(1-x^2)

f (x) = x 1 - x^{2}

integral from 1 to 8 of 1/(sqrt(3x+1))

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limit as x approaches-1 of 1/(sqrt(x+1))

x \to - 1 lim (\frac{1}{x + 1})

y^{''}-y^'+4y=2sin(2t)

y^{^{''}} - y^{^{'}} + 4 y = 2 sin (2 t)

derivative 3x*ln(1/(x^2))

d er i v a t i v e 3 x \cdot ln (\frac{1}{x ^{2}})