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Popular >

integral of 6-6/(x^2)

Solution

\int 6 - \frac{6}{x ^{2}} d x

Solution

6 x + \frac{6}{x} + C

Solution steps

\int 6 - \frac{6}{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 6 d x - \int \frac{6}{x ^{2}} d x

\int 6 d x = 6 x

\int \frac{6}{x ^{2}} d x = - \frac{6}{x}

= 6 x - (- \frac{6}{x})

Simplify

= 6 x + \frac{6}{x}

Add a constant to the solution

= 6 x + \frac{6}{x} + C

Popular Examples

integral of e^{-(3x^2+1)}x

\int e^{- (3 x^{2} + 1)} x d x

integral of xcos((npix)/(20))

\int x cos (\frac{nπ x}{20}) d x

integral of (sec^2(x))/(5+3tan(x))

\int \frac{sec ^{2} ( x )}{5 + 3 tan ( x )} d x

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

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

integral of (4x)/3

\int \frac{4 x}{3} d x

Frequently Asked Questions (FAQ)

What is the integral of 6-6/(x^2) ?
The integral of 6-6/(x^2) is 6x+6/x+C