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Popular >

integral of 1-8/(x^3)

Solution

\int 1 - \frac{8}{x ^{3}} d x

Solution

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

Solution steps

\int 1 - \frac{8}{x ^{3}} d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int 1 d x - \int \frac{8}{x ^{3}} d x

\int 1 d x = x

\int \frac{8}{x ^{3}} d x = - \frac{4}{x ^{2}}

= x - (- \frac{4}{x ^{2}})

Simplify

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

Add a constant to the solution

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

Graph

Popular Examples

derivative of (x+1^{-1})

\frac{d}{d x} ((x + 1)^{- 1})

derivative of (sin(x)/(cos(x)+1))

\frac{d}{d x} (\frac{sin ( x )}{cos ( x ) + 1})

derivative of (-x/(x^2+a^2))

\frac{d}{d x} (\frac{- x}{x ^{2} + a ^{2}})

derivative of 3-2x-x^2

\frac{d}{d x} (3 - 2 x - x^{2})

area y=sqrt(2x),y=2x-12,y=0 area

y = 2 x, y = 2 x - 12, y = 0

Frequently Asked Questions (FAQ)

What is the integral of 1-8/(x^3) ?
The integral of 1-8/(x^3) is x+4/(x^2)+C