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Popular >

integral of (y^2-2x)

Solution

\int (y^{2} - 2 x) d x

Solution

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

Solution steps

\int y^{2} - 2 x d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

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

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

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

= y^{2} x - x^{2}

Add a constant to the solution

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

Popular Examples

integral of cos(x)-(sin(x))/x

\int cos (x) - \frac{sin ( x )}{x} d x

integral of x^{2/3}-3x^{-3}+x^{1/2}

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

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

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

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

\int \frac{2 x - 1}{x ^{2} + 2 x + 2} d x

integral of (cos(5x))/(sin^3(5x))

\int \frac{cos ( 5 x )}{sin ^{3} ( 5 x )} d x

Frequently Asked Questions (FAQ)

What is the integral of (y^2-2x) ?
The integral of (y^2-2x) is y^2x-x^2+C