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Popular >

integral of x*x'

Solution

\int x \cdot x^{'} d x

Solution

x^{2} x' - \frac{x ^{2}}{2} + C

Solution steps

\int x x^{'} d x

Apply Integration By Parts

: x^{2} x^{'} - \int x d x

= x^{2} x^{^{'}} - \int x d x

\int x d x = \frac{x ^{2}}{2}

= x^{2} x^{^{'}} - \frac{x ^{2}}{2}

Add a constant to the solution

= x^{2} x^{^{'}} - \frac{x ^{2}}{2} + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of x*x' ?
The integral of x*x' is x^2x'-(x^2)/2+C