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Popular >

integral of u*e^u

Solution

\int u \cdot e^{u} d u

Solution

e^{u} u - e^{u} + C

Solution steps

\int u e^{u} d u

Apply Integration By Parts

: e^{u} u - \int e^{u} d u

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

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

= e^{u} u - e^{u}

Add a constant to the solution

= e^{u} u - e^{u} + C

Popular Examples

x(dy)/(dx)=y+x^2sin(x)

x \frac{d y}{d x} = y + x^{2} sin (x)

integral of 7sqrt(t)

\int 7 t d t

integral of 8tan^2(x)

\int 8 tan^{2} (x) d x

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

\int \frac{1}{( x + 2 ) ( x + 4 )} d x

integral of 1+2sin(x)+3/(sqrt(x))

\int 1 + 2 sin (x) + \frac{3}{x} d x

Frequently Asked Questions (FAQ)

What is the integral of u*e^u ?
The integral of u*e^u is e^uu-e^u+C