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Popular >

integral of 5e^5x

Solution

\int 5 e^{5} x d x

Solution

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

Solution steps

\int 5 e^{5} x d x

Take the constant out:

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

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

Apply the Power Rule

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

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

Multiply fractions:

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

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

Add a constant to the solution

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

Popular Examples

integral of xe^{x^2}sin(x^2+4)

\int x e^{x^{2}} sin (x^{2} + 4) d x

integral of (2x-3)^8

\int (2 x - 3)^{8} d x

integral of 6a^{3x}

\int 6 a^{3 x} d x

integral of 2/x+3/(x^2)

\int \frac{2}{x} + \frac{3}{x ^{2}} d x

integral of sech(x)tanh(x)

\int sech (x) tanh (x) d x

Frequently Asked Questions (FAQ)

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