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Popular >

integral of 2/(x^6)

Solution

\int \frac{2}{x ^{6}} d x

Solution

- \frac{2}{5 x ^{5}} + C

Solution steps

\int \frac{2}{x ^{6}} 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 ^{6}} d x

Apply the Power Rule

: - \frac{1}{5 x ^{5}}

= 2 (- \frac{1}{5 x ^{5}})

Simplify

2 (- \frac{1}{5 x ^{5}}) : - \frac{2}{5 x ^{5}}

= - \frac{2}{5 x ^{5}}

Add a constant to the solution

= - \frac{2}{5 x ^{5}} + C

Popular Examples

derivative of x^2+64 derivative of

x^{2} + 64

(\partial)/(\partial x)(9e^{xy+8})

\frac{\partial}{\partial x} (9 e^{x y + 8})

area x=y^2-10,x=3y area

x = y^{2} - 10, x = 3 y

derivative of cy^{-2}derivative of

c y^{- 2}

sum from n=0 to infinity of 1/(2+6^{-n)}

n = 0 \sum \infty \frac{1}{2 + 6 ^{- n}}

Frequently Asked Questions (FAQ)

What is the integral of 2/(x^6) ?
The integral of 2/(x^6) is -2/(5x^5)+C