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Popular >

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

Solution

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

Solution

x^{2} + \frac{1}{x} + C

Solution steps

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

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

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

= x^{2} - (- \frac{1}{x})

Simplify

= x^{2} + \frac{1}{x}

Add a constant to the solution

= x^{2} + \frac{1}{x} + C

Graph

Popular Examples

integral of 2^x+x^2

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

(\partial)/(\partial z)(yz-ln(x+z))

\frac{\partial}{\partial z} (yz - ln (x + z))

limit as x approaches-infinity of 7

x \to - \infty lim (7)

derivative of (x^3/(2-x^2))

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

(d^4)/(dx^4)(e^{2/x})

\frac{d ^{4}}{d x ^{4}} (e^{\frac{2}{x}})

Frequently Asked Questions (FAQ)

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