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Popular >

integral of+2xe^y

Solution

\int + 2 x e^{y} d x

Solution

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

Solution steps

\int 2 x e^{y} d x

Take the constant out:

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

= 2 e^{y} \cdot \int x d x

Apply the Power Rule

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

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

Simplify

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

= e^{y} x^{2}

Add a constant to the solution

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

Popular Examples

integral of 7/9 sin(3x+6)

\int \frac{7}{9} sin (3 x + 6) d x

integral of f(x)=x^3e^{x^{4+2}}integral

f (x) = x^{3} e^{x^{4 + 2}}

integral of (2x-3)/(sqrt(x^2+2x+5))

\int \frac{2 x - 3}{x ^{2} + 2 x + 5} d x

integral of (1-sec(x))/(cos(x)-1)

\int \frac{1 - sec ( x )}{cos ( x ) - 1} d x

integral of (24x)/(4x^2+1)

\int \frac{24 x}{4 x ^{2} + 1} d x

Frequently Asked Questions (FAQ)

What is the integral of+2xe^y ?
The integral of+2xe^y is e^yx^2+C