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Popular Calculus >

integral of e^7y

Solution

integral

e^{7} y

Solution

\frac{e ^{7} y ^{2}}{2} + C

Solution steps

\int e^{7} y d y

Take the constant out:

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

= e^{7} \cdot \int y d y

Apply the Power Rule

= e^{7} \frac{y ^{2}}{2}

Multiply fractions:

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

= \frac{e ^{7} y ^{2}}{2}

Add a constant to the solution

= \frac{e ^{7} y ^{2}}{2} + C

Graph

Popular Examples

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Frequently Asked Questions (FAQ)

What is the integral of e^7y ?
The integral of e^7y is (e^7y^2)/2+C