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Popular >

integral of (x^{-2}-y)

Solution

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

Solution

- y x - \frac{1}{x} + 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{1}{x}

= - y x - \frac{1}{x}

Add a constant to the solution

= - y x - \frac{1}{x} + C

Popular Examples

integral of 9-|x|

\int 9 - ∣ x ∣ d x

integral of (2^0-3^0)^pi

\int (2^{0} - 3^{0})^{π} d x

integral of (x^{3/2}+8)^7sqrt(x)

\int (x^{\frac{3}{2}} + 8)^{7} x d x

integral of xsin(1-3x)

\int x sin (1 - 3 x) d x

integral of x^3+3^x+e^3

\int x^{3} + 3^{x} + e^{3} d x

Frequently Asked Questions (FAQ)

What is the integral of (x^{-2}-y) ?
The integral of (x^{-2}-y) is -yx-1/x+C