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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

Graph

Popular Examples

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

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

derivative of \sqrt[4]{x^4-2}

\frac{d}{d x} (4 x^{4} - 2)

integral of (9/(sqrt(x))+9sqrt(x))

\int (\frac{9}{x} + 9 x) d x

derivative of f(x)=9x+13xe^x derivative of

f (x) = 9 x + 13 x e^{x}

(\partial)/(\partial z)(x^2e^{yz})

\frac{\partial}{\partial z} (x^{2} e^{yz})

Frequently Asked Questions (FAQ)

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