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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 xe^{-8x}

\int x e^{- 8 x} d x

integral of \sqrt[3]{x}ln(x^5)

limit as x approaches-infinity of x+1

x \to - \infty lim (x + 1)

area 3x^3-x^2-10x,-x^2+2x area

3 x^{3} - x^{2} - 10 x, - x^{2} + 2 x

derivative of 3x^4+2x^{1/3}-1/(x^2)

\frac{d}{d x} (3 x^{4} + 2 x^{\frac{1}{3}} - \frac{1}{x ^{2}})

Frequently Asked Questions (FAQ)

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