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Popular >

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

: \frac{y ^{2}}{2}

= 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

Popular Examples

integral of e^{x^2+y^2}integral

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\frac{1}{( x + 3 ) ^{2}}

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

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

(x^{2} + 2)^{3}

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

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

Frequently Asked Questions (FAQ)

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