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Popular >

integral of 1/(e^u)

Solution

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

Solution

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

Solution steps

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

Apply u-substitution

: \int \frac{1}{v ^{2}} d v

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

Apply the Power Rule

: - \frac{1}{v}

= - \frac{1}{v}

Substitute back

v = e^{u}

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

Add a constant to the solution

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

Popular Examples

integral of (11x^2)/((225+x^2)^2)

\int \frac{11 x ^{2}}{( 225 + x ^{2} ) ^{2}} d x

integral of (sin(3x))/([1+cos(3x)]^4)

\int \frac{sin ( 3 x )}{[ 1 + cos ( 3 x ) ] ^{4}} d x

derivative of 3x^2-5x+1 derivative of

3 x^{2} - 5 x + 1

limit as x approaches 0 of 3sin(x)-2

x \to 0 lim (3 sin (x) - 2)

integral of sin(3x)*cos(3x)

\int sin (3 x) \cdot cos (3 x) d x

Frequently Asked Questions (FAQ)

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