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Popular >

integral of c/(x^3)

Solution

\int \frac{c}{x ^{3}} d x

Solution

- \frac{c}{2 x ^{2}} + C

Solution steps

\int \frac{c}{x ^{3}} 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 ^{3}} d x

Apply the Power Rule

: - \frac{1}{2 x ^{2}}

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

Simplify

c (- \frac{1}{2 x ^{2}}) : - \frac{c}{2 x ^{2}}

= - \frac{c}{2 x ^{2}}

Add a constant to the solution

= - \frac{c}{2 x ^{2}} + C

Graph

Popular Examples

integral of x^4cos(x^5+1)

\int x^{4} cos (x^{5} + 1) d x

integral of (6x^4+4x^2-2)/(x^2)

\int \frac{6 x ^{4} + 4 x ^{2} - 2}{x ^{2}} d x

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

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

integral of (x*e^{2x})

\int (x \cdot e^{2 x}) d x

integral of 1/((x+3)^4)

\int \frac{1}{( x + 3 ) ^{4}} d x

Frequently Asked Questions (FAQ)

What is the integral of c/(x^3) ?
The integral of c/(x^3) is -c/(2x^2)+C