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Popular >

integral of (\partial)/(\partial x)(x^2)

Solution

\int \frac{\partial}{\partial x} (x^{2}) d x

Solution

\frac{\partial}{\partial x} (x^{2}) x - x^{2} + C

Solution steps

\int \frac{\partial}{\partial x} (x^{2}) d x

Apply Integration By Parts

: \frac{\partial}{\partial x} (x^{2}) x - \int 2 x d x

= \frac{\partial}{\partial x} (x^{2}) x - \int 2 x d x

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

= \frac{\partial}{\partial x} (x^{2}) x - x^{2}

Add a constant to the solution

= \frac{\partial}{\partial x} (x^{2}) x - x^{2} + C

Popular Examples

integral of tan^2(1-x)

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

integral of (-2x^{-3}+20x^{-5})

\int (- 2 x^{- 3} + 20 x^{- 5}) d x

integral of x^2(x^3+2)^{1/2}

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

integral of ((2x^3-3)/x)

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

integral of ((sin(2x))/y+x)

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

Frequently Asked Questions (FAQ)

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