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Popular >

integral of-1/(2x^3)

Solution

\int - \frac{1}{2 x ^{3}} d x

Solution

\frac{1}{4 x ^{2}} + C

Solution steps

\int - \frac{1}{2 x ^{3}} d x

Take the constant out:

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

= - \frac{1}{2} \cdot \int \frac{1}{x ^{3}} d x

Apply the Power Rule

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

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

Simplify

- \frac{1}{2} (- \frac{1}{2 x ^{2}}) : \frac{1}{4 x ^{2}}

= \frac{1}{4 x ^{2}}

Add a constant to the solution

= \frac{1}{4 x ^{2}} + C

Graph

Popular Examples

derivative of y=(x^3-1)^{100}derivative of

y = (x^{3} - 1)^{100}

integral of (y^2-1)/(y 3/2)

\int \frac{y ^{2} - 1}{y \frac{3}{2}} d y

integral of (2x-1)sin(3x)

\int (2 x - 1) sin (3 x) d x

limit as x approaches infinity of 2x^2+3

x \to \infty lim (2 x^{2} + 3)

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

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

Frequently Asked Questions (FAQ)

What is the integral of-1/(2x^3) ?
The integral of-1/(2x^3) is 1/(4x^2)+C