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Popular >

integral of-1/(3x^4)

Solution

\int - \frac{1}{3 x ^{4}} d x

Solution

\frac{1}{9 x ^{3}} + C

Solution steps

\int - \frac{1}{3 x ^{4}} d x

Take the constant out:

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

= - \frac{1}{3} \cdot \int \frac{1}{x ^{4}} d x

Apply the Power Rule

: - \frac{1}{3 x ^{3}}

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

Simplify

- \frac{1}{3} (- \frac{1}{3 x ^{3}}) : \frac{1}{9 x ^{3}}

= \frac{1}{9 x ^{3}}

Add a constant to the solution

= \frac{1}{9 x ^{3}} + C

Popular Examples

(dy)/(dx)+(cot(x))y=2*csc(x)

\frac{d y}{d x} + (cot (x)) y = 2 \cdot csc (x)

derivative of x*cos(((x)/((x-2))))

\frac{d}{d x} (x \cdot cos (\frac{( x )}{( x - 2 )}))

limit as x approaches 0 of-e^x

x \to 0 lim (- e^{x})

x^{2} y^{^{'}} = (x + 1) y

integral from-1 to 0 of 1/(1+x^2)

\int_{- 1}^{0} \frac{1}{1 + x ^{2}} d x

Frequently Asked Questions (FAQ)

What is the integral of-1/(3x^4) ?
The integral of-1/(3x^4) is 1/(9x^3)+C