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Popular >

integral of 2x^{-5}

Solution

\int 2 x^{- 5} d x

Solution

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

Solution steps

\int 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 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

(\partial)/(\partial y)(5y-e^{8sin(x)})

\frac{\partial}{\partial y} (5 y - e^{8 s i n (x)})

sum from n=6 to infinity of 1/(n^2-4)

n = 6 \sum \infty \frac{1}{n ^{2} - 4}

sum from n=1 to infinity of 1/(n^{-10)}

n = 1 \sum \infty \frac{1}{n ^{- 10}}

tangent of y=x^2+x+3 tangent of

y = x^{2} + x + 3

tangent of 1/(sqrt(x)),\at x=9 tangent of

\frac{1}{x}, at x = 9

Frequently Asked Questions (FAQ)

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