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Popular >

integral of-2/(e^x)

Solution

\int - \frac{2}{e ^{x}} d x

Solution

\frac{2}{e ^{x}} + C

Solution steps

\int - \frac{2}{e ^{x}} d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= - 2 \cdot \int \frac{1}{e ^{x}} d x

Apply u-substitution

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

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

Apply the Power Rule

: - \frac{1}{u}

= - 2 (- \frac{1}{u})

Substitute back

u = e^{x}

= - 2 (- \frac{1}{e ^{x}})

Simplify

- 2 (- \frac{1}{e ^{x}}) : \frac{2}{e ^{x}}

= \frac{2}{e ^{x}}

Add a constant to the solution

= \frac{2}{e ^{x}} + C

Graph

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integral of (20)/((x-1)sqrt(x^2-2x-48))

\int \frac{20}{( x - 1 ) x ^{2} - 2 x - 48} d x

Frequently Asked Questions (FAQ)

What is the integral of-2/(e^x) ?
The integral of-2/(e^x) is 2/(e^x)+C