What is the integral of (200)/(x^3) ?

The integral of (200)/(x^3) is -(100)/(x^2)+C

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integral of (200)/(x^3)

integral

\frac{200}{x ^{3}}

- \frac{100}{x ^{2}} + C

Solution steps

\int \frac{200}{x ^{3}} d x

Take the constant out:

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

= 200 \cdot \int \frac{1}{x ^{3}} d x

Apply the Power Rule

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

= 200 (- \frac{1}{2 x ^{2}})

Simplify

200 (- \frac{1}{2 x ^{2}}) : - \frac{100}{x ^{2}}

= - \frac{100}{x ^{2}}

Add a constant to the solution

= - \frac{100}{x ^{2}} + C

- 5 x^{2}

\frac{2}{( x ^{2} + 3 x + 2 )}

\frac{1}{( 2 x ^{2} + 6 x - 8 )}

x (x - 1) (x + 1)

\frac{1}{( x ^{2} + 0.75 )}

What is the integral of (200)/(x^3) ?
The integral of (200)/(x^3) is -(100)/(x^2)+C