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Popular >

integral of ve^v

Solution

\int v e^{v} d v

Solution

e^{v} v - e^{v} + C

Solution steps

\int v e^{v} d v

Apply Integration By Parts

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

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

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

= e^{v} v - e^{v}

Add a constant to the solution

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

Popular Examples

integral of (x^2+3x-1)^3(2x+3)

\int (x^{2} + 3 x - 1)^{3} (2 x + 3) d x

integral of (sqrt(9-t^2))/(t^2)

\int \frac{9 - t ^{2}}{t ^{2}} d t

integral of 8x(4x^2+3)^4

\int 8 x (4 x^{2} + 3)^{4} d x

integral of x/(x^2sqrt(9x^4-25))

\int \frac{x}{x ^{2} 9 x ^{4} - 25} d x

integral of (5x^4+6x)/(x^5+3x^2+7)

\int \frac{5 x ^{4} + 6 x}{x ^{5} + 3 x ^{2} + 7} d x

Frequently Asked Questions (FAQ)

What is the integral of ve^v ?
The integral of ve^v is e^vv-e^v+C