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Popular >

integral of 2/(x^5)

Solution

\int \frac{2}{x ^{5}} d x

Solution

- \frac{1}{2 x ^{4}} + C

Solution steps

\int \frac{2}{x ^{5}} d x

Take the constant out:

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

= 2 \cdot \int \frac{1}{x ^{5}} d x

Apply the Power Rule

: - \frac{1}{4 x ^{4}}

= 2 (- \frac{1}{4 x ^{4}})

Simplify

2 (- \frac{1}{4 x ^{4}}) : - \frac{1}{2 x ^{4}}

= - \frac{1}{2 x ^{4}}

Add a constant to the solution

= - \frac{1}{2 x ^{4}} + C

Popular Examples

integral of cot(u)

\int cot (u) d u

y^{^{'}} = 2 x (x - 2)

sum from n=0 to infinity of (1^n)/(n+2)

n = 0 \sum \infty \frac{1 ^{n}}{n + 2}

integral from 0 to 5 of 1/((6-2x)^{1/3)}

\int_{0}^{5} \frac{1}{( 6 - 2 x ) ^{\frac{1}{3}}} d x

integral of (x^3-2x)^2(1/x-5)

\int (x^{3} - 2 x)^{2} (\frac{1}{x} - 5) d x

Frequently Asked Questions (FAQ)

What is the integral of 2/(x^5) ?
The integral of 2/(x^5) is -1/(2x^4)+C