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Popular >

integral of 4/(x^7)

Solution

\int \frac{4}{x ^{7}} d x

Solution

- \frac{2}{3 x ^{6}} + C

Solution steps

\int \frac{4}{x ^{7}} d x

Take the constant out:

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

= 4 \cdot \int \frac{1}{x ^{7}} d x

Apply the Power Rule

: - \frac{1}{6 x ^{6}}

= 4 (- \frac{1}{6 x ^{6}})

Simplify

4 (- \frac{1}{6 x ^{6}}) : - \frac{2}{3 x ^{6}}

= - \frac{2}{3 x ^{6}}

Add a constant to the solution

= - \frac{2}{3 x ^{6}} + C

Graph

Popular Examples

integral of x*7^{x^2}

\int x \cdot 7^{x^{2}} d x

integral of e^x+e^{ax}+e^{ax+b}

\int e^{x} + e^{a x} + e^{a x + b} d x

integral of-1/(1+x)

\int - \frac{1}{1 + x} d x

integral of 2-e^x

\int 2 - e^{x} d x

integral of cos(x)+1/3 x

\int cos (x) + \frac{1}{3} x d x

Frequently Asked Questions (FAQ)

What is the integral of 4/(x^7) ?
The integral of 4/(x^7) is -2/(3x^6)+C