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

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

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

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

0

Solution steps

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

If f(x) is an odd function and continuous at:

[- a, a]

then

\int_{- a}^{a} f (x) d x = 0

Parity of

e^{- x^{2}} sin (x) :

Odd

= 0

\int_{- \frac{π}{2}}^{π} 5 cos (x) d x

\int_{0}^{4} 2 x y d y

\int_{- 1}^{1} (1 + 2 x - 3 x^{2} + x^{3}) d x

\int_{\frac{π}{2}}^{\frac{3 π}{2}} sin (x) d x

\int_{2}^{6} e^{x} d x

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