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Popular >

integral of e^yy-e^y

Solution

\int e^{y} y - e^{y} d y

Solution

e^{y} y - 2 e^{y} + C

Solution steps

\int e^{y} y - e^{y} d y

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int e^{y} y d y - \int e^{y} d y

\int e^{y} y d y = e^{y} y - e^{y}

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

= e^{y} y - e^{y} - e^{y}

Simplify

= e^{y} y - 2 e^{y}

Add a constant to the solution

= e^{y} y - 2 e^{y} + C

Graph

Popular Examples

integral of 1/(e^xe^{\frac{1){x^2}}}

\int \frac{1}{e ^{x} e ^{\frac{1}{x ^{2}}}} d x

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

\int \frac{x ^{2} - x + 1}{x} d x

(x-9)y^'+y=x^2-10

(x - 9) y^{^{'}} + y = x^{2} - 10

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

\int \frac{1}{x ^{2} + x x} d x

limit as x approaches 7 of 2

x \to 7 lim (2)

Frequently Asked Questions (FAQ)

What is the integral of e^yy-e^y ?
The integral of e^yy-e^y is e^yy-2e^y+C