What is the integral from-3 to infinity of e^x ?

The integral from-3 to infinity of e^x is diverges

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integral from-3 to infinity of e^x

\int_{- 3}^{\infty} e^{x} d x

diverges

Solution steps

\int_{- 3}^{\infty} e^{x} d x

Compute the indefinite integral:

\int e^{x} d x = e^{x} + C

Compute the boundaries:

\int_{- 3}^{\infty} e^{x} d x =

diverges

= diverges

\int_{10}^{\infty} \frac{1}{x ^{5}} d x

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

\int_{0}^{1} \frac{6}{5} (10 x + 4 y) d y

\int_{0}^{1} x^{2} e^{- 15 x} d x

\int_{1}^{3} 10 x^{4} d x

What is the integral from-3 to infinity of e^x ?
The integral from-3 to infinity of e^x is diverges