What is the integral from-infinity to infinity of e^{x^2} ?

The integral from-infinity to infinity of e^{x^2} is diverges

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integral from-infinity to infinity of e^{x^2}

\int_{- \infty}^{\infty} e^{x^{2}} d x

diverges

Solution steps

\int_{- \infty}^{\infty} e^{x^{2}} d x

Compute the indefinite integral:

\int e^{x^{2}} d x = \frac{π}{2} erfi (x) + C

Compute the boundaries:

\int_{- \infty}^{\infty} e^{x^{2}} d x =

diverges

= diverges

\int_{0}^{3} \frac{1}{( x - 2 ) ^{3}} d x

\int_{0}^{1} 2 e^{2 x} d x

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

\int_{- π}^{π} 4 sin (x) + cos (x) d x

\int_{0}^{1} sin (4 x) d x

What is the integral from-infinity to infinity of e^{x^2} ?
The integral from-infinity to infinity of e^{x^2} is diverges