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Popular >

integral of e^5x

Solution

integral

e^{5} 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

: \frac{x ^{2}}{2}

= 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

Popular Examples

integral of x/4 integral

\frac{x}{4}

integral of arctan(1/x)integral

arctan (\frac{1}{x})

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

\frac{x ^{2}}{( 1 + x )}

integral of ((x+4))/((x^2+1))integral

\frac{( x + 4 )}{( x ^{2} + 1 )}

integral of sin^2(4x)integral

sin^{2} (4 x)

Frequently Asked Questions (FAQ)

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