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Popular >

integral of c/(x^2)

Solution

\int \frac{c}{x ^{2}} d x

Solution

- \frac{c}{x} + C

Solution steps

\int \frac{c}{x ^{2}} d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= c \cdot \int \frac{1}{x ^{2}} d x

Apply the Power Rule

: - \frac{1}{x}

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

Simplify

c (- \frac{1}{x}) : - \frac{c}{x}

= - \frac{c}{x}

Add a constant to the solution

= - \frac{c}{x} + C

Popular Examples

derivative of f(x)=7x^{15}derivative of

f (x) = 7 x^{15}

integral from 0 to 5 of 1/(x^{18/19)}

\int_{0}^{5} \frac{1}{x ^{\frac{18}{19}}} d x

tangent of f(x)= 3/(4x+1),\at x=-1 tangent of

f (x) = \frac{3}{4 x + 1}, at x = - 1

derivative of (e^{arctan(x})/(1+x^2))

\frac{d}{d x} (\frac{e ^{a r c t a n (x)}}{1 + x ^{2}})

derivative of (csc(3x)/(x^3))

\frac{d}{d x} (\frac{csc ( 3 x )}{x ^{3}})

Frequently Asked Questions (FAQ)

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