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Popular >

integral of 1/(4x^7)

Solution

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

Solution

- \frac{1}{24 x ^{6}} + C

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule

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

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

Simplify

\frac{1}{4} (- \frac{1}{6 x ^{6}}) : - \frac{1}{24 x ^{6}}

= - \frac{1}{24 x ^{6}}

Add a constant to the solution

= - \frac{1}{24 x ^{6}} + C

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\int (9^{x}) d x

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

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

integral of (2x+8)e^{(x+4)^2}

\int (2 x + 8) e^{(x + 4)^{2}} d x

Frequently Asked Questions (FAQ)

What is the integral of 1/(4x^7) ?
The integral of 1/(4x^7) is -1/(24x^6)+C