Evaluate using formulas and rules of \int (200)/(x^3)

-\frac{100}{x^{2}}+C,C \in \mathbb{R}

Solve int (200)/(x^3)

Evaluate

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

Rewrite the expression

\int 200 \times \frac{1}{x ^{3}} d x

Use the property of integral \int k f (x) d x = k \int f (x) d x

200 \times \int \frac{1}{x ^{3}} d x

Use the property of integral \int x^{n} d x = \frac{x ^{n + 1}}{n + 1}

200 \times \frac{x ^{- 3 + 1}}{- 3 + 1}

Simplify

More Steps

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

Multiplying or dividing an odd number of negative terms equals a negative

- 200 \times \frac{1}{2 x ^{2}}

Cancel out the common factor 2

- 100 \times \frac{1}{x ^{2}}

Multiply the terms

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

Solution

- \frac{100}{x ^{2}} + C, C \in R