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Popular >

integral of 7/(x^4)

Solution

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

Solution

- \frac{7}{3 x ^{3}} + C

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule

: - \frac{1}{3 x ^{3}}

= 7 (- \frac{1}{3 x ^{3}})

Simplify

7 (- \frac{1}{3 x ^{3}}) : - \frac{7}{3 x ^{3}}

= - \frac{7}{3 x ^{3}}

Add a constant to the solution

= - \frac{7}{3 x ^{3}} + C

Graph

Popular Examples

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x^{2} - y^{2} = 64, (8, 0)

area 2x-x^2,8-4x,4x area

2 x - x^{2}, 8 - 4 x, 4 x

(\partial)/(\partial t)(-3s^2t^2)

\frac{\partial}{\partial t} (- 3 s^{2} t^{2})

Frequently Asked Questions (FAQ)

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