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Popular Calculus >

integral of 1/((e^m))

Solution

integral

\frac{1}{( e ^{m} )}

Solution

- \frac{1}{e ^{m}} + C

Solution steps

\int \frac{1}{e ^{m}} d m

Apply u-substitution

= \int \frac{1}{u ^{2}} d u

Apply the Power Rule

= - \frac{1}{u}

Substitute back

u = e^{m}

= - \frac{1}{e ^{m}}

Add a constant to the solution

= - \frac{1}{e ^{m}} + C

Graph

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in t e g r a l \frac{1}{x ( x + 1 ) ^{\frac{1}{2}}}

Frequently Asked Questions (FAQ)

What is the integral of 1/((e^m)) ?
The integral of 1/((e^m)) is -1/(e^m)+C