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Popular >

integral of 3/(x^3)

Solution

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

Solution

- \frac{3}{2 x ^{2}} + C

Solution steps

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

Take the constant out:

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

= 3 \cdot \int \frac{1}{x ^{3}} d x

Apply the Power Rule

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

= 3 (- \frac{1}{2 x ^{2}})

Simplify

3 (- \frac{1}{2 x ^{2}}) : - \frac{3}{2 x ^{2}}

= - \frac{3}{2 x ^{2}}

Add a constant to the solution

= - \frac{3}{2 x ^{2}} + C

Popular Examples

laplacetransform f(t)=cos(5t)+sin(2t)laplace transform

f (t) = cos (5 t) + sin (2 t)

y^{''}-y=0,y(0)=6

y^{^{''}} - y = 0, y (0) = 6

integral of x/((sqrt(1+x^2)))

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

limit as x approaches-1 of (x^3+1)/(x-1)

x \to - 1 lim (\frac{x ^{3} + 1}{x - 1})

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

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

Frequently Asked Questions (FAQ)

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