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Popular >

integral of 1-1/(x^2)

Solution

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

Solution

x + \frac{1}{x} + C

Solution steps

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

\int 1 d x = x

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

= x - (- \frac{1}{x})

Simplify

= x + \frac{1}{x}

Add a constant to the solution

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

Popular Examples

integral of 7x^2e^{6x}

\int 7 x^{2} e^{6 x} d x

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

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tangent of f(x)=(x+2sin(x))tangent of

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integral of (x-3)/(sqrt(3-4x^2))

\int \frac{x - 3}{3 - 4 x ^{2}} d x

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(4 X - 1)^{2} (3 X - 1)^{- 2}

Frequently Asked Questions (FAQ)

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