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Popular >

integral of (x^2-y)

Solution

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

Solution

- y x + \frac{x ^{3}}{3} + C

Solution steps

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

\int y d x = y x

\int x^{2} d x = \frac{x ^{3}}{3}

= - y x + \frac{x ^{3}}{3}

Add a constant to the solution

= - y x + \frac{x ^{3}}{3} + C

Popular Examples

derivative of sqrt(2sin(x))

\frac{d}{d x} (2 sin (x))

integral of xcsc^2(4x)

\int x csc^{2} (4 x) d x

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\int_{- 1}^{1} 0.09375 (4 - x^{2}) d x

integral of e^{-17x}

\int e^{- 17 x} d x

integral of x/(16-x^8)

\int \frac{x}{16 - x ^{8}} d x

Frequently Asked Questions (FAQ)

What is the integral of (x^2-y) ?
The integral of (x^2-y) is -yx+(x^3)/3+C