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Popular Calculus >

integral of e^5x

Solution

\int e^{5} x d x

Solution

\frac{e ^{5} x ^{2}}{2} + C

Solution steps

\int e^{5} x d x

Take the constant out:

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

= e^{5} \cdot \int x d x

Apply the Power Rule

= e^{5} \frac{x ^{2}}{2}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{e ^{5} x ^{2}}{2}

Add a constant to the solution

= \frac{e ^{5} x ^{2}}{2} + C

Graph

Popular Examples

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integral of (x^2-1)^{3/2}

integral of cos(5x)cos(11x)

integral of x(x)

integral of ((x+1))/((x^2+x+1))

Frequently Asked Questions (FAQ)

What is the integral of e^5x ?
The integral of e^5x is (e^5x^2)/2+C