What is the integral from-infinity to 0 of e^{4y} ?

The integral from-infinity to 0 of e^{4y} is 1/4

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integral from-infinity to 0 of e^{4y}

\int_{- \infty}^{0} e^{4 y} d y

\frac{1}{4}

Decimal Notation

0.25

Solution steps

\int_{- \infty}^{0} e^{4 y} d y

Compute the indefinite integral:

\int e^{4 y} d y = \frac{1}{4} e^{4 y} + C

Compute the boundaries:

\int_{- \infty}^{0} e^{4 y} d y = \frac{1}{4} - 0

= \frac{1}{4} - 0

Simplify

= \frac{1}{4}

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\int \frac{1}{x x ^{6} - 4} d x

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\int (- 2) d x

What is the integral from-infinity to 0 of e^{4y} ?
The integral from-infinity to 0 of e^{4y} is 1/4