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

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

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

0

Solution steps

\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

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

\int_{1}^{8} \frac{1}{3 x + 1} d x

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

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

3 x \cdot ln (\frac{1}{x ^{2}})

What is the integral from-a to a of integral from 0 to 1 of sin(y)e^{x^2} ?
The integral from-a to a of integral from 0 to 1 of sin(y)e^{x^2} is 0