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Popular >

integral of 1/(7x^5)

Solution

\int \frac{1}{7 x ^{5}} d x

Solution

- \frac{1}{28 x ^{4}} + C

Solution steps

\int \frac{1}{7 x ^{5}} d x

Take the constant out:

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

= \frac{1}{7} \cdot \int \frac{1}{x ^{5}} d x

Apply the Power Rule

: - \frac{1}{4 x ^{4}}

= \frac{1}{7} (- \frac{1}{4 x ^{4}})

Simplify

\frac{1}{7} (- \frac{1}{4 x ^{4}}) : - \frac{1}{28 x ^{4}}

= - \frac{1}{28 x ^{4}}

Add a constant to the solution

= - \frac{1}{28 x ^{4}} + C

Graph

Popular Examples

y^'+2xy=xe^{-x^2},y(0)=1

y^{^{'}} + 2 x y = x e^{- x^{2}}, y (0) = 1

integral of 1/(sqrt(9x^2+1))

\int \frac{1}{9 x ^{2} + 1} d x

integral of (4x-7)

\int (4 x - 7) d x

derivative of (10x/(1-x))

\frac{d}{d x} (\frac{10 x}{1 - x})

integral of 3/(1+3x)

\int \frac{3}{1 + 3 x} d x

Frequently Asked Questions (FAQ)

What is the integral of 1/(7x^5) ?
The integral of 1/(7x^5) is -1/(28x^4)+C