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Popular >

integral of-1/(x^4)

Solution

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

Solution

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

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule

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

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

Simplify

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

Add a constant to the solution

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

Popular Examples

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

\frac{d}{d x} (e^{- \frac{1}{x ^{2}}})

integral of 3x^2-2x+1

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

dy+(2xy-4e^{-x^2})dx=0

d y + (2 x y - 4 e^{- x^{2}}) d x = 0

slope of (4,1),(3,1)slope

(4, 1), (3, 1)

(x+y)^2dx+(2xy+x^2-6)dy=0

(x + y)^{2} d x + (2 x y + x^{2} - 6) d y = 0

Frequently Asked Questions (FAQ)

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