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Popular >

integral of 2x^{-6}

Solution

\int 2 x^{- 6} d x

Solution

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

Solution steps

\int 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 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

integral of (7x^2+3x+20)/(x^3+4x)

\int \frac{7 x ^{2} + 3 x + 20}{x ^{3} + 4 x} d x

integral of x(1+x^2)^7

\int x (1 + x^{2})^{7} d x

integral of ln(cos(x))-ln(sin(x))

\int ln (cos (x)) - ln (sin (x)) d x

integral of (2x+3)^8

\int (2 x + 3)^{8} d x

integral of (5x^2)/(5+x^3)

\int \frac{5 x ^{2}}{5 + x ^{3}} d x

Frequently Asked Questions (FAQ)

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