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Popular >

integral of 6/(x^5)

Solution

\int \frac{6}{x ^{5}} d x

Solution

- \frac{3}{2 x ^{4}} + C

Solution steps

\int \frac{6}{x ^{5}} d x

Take the constant out:

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

= 6 \cdot \int \frac{1}{x ^{5}} d x

Apply the Power Rule

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

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

Simplify

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

= - \frac{3}{2 x ^{4}}

Add a constant to the solution

= - \frac{3}{2 x ^{4}} + C

Popular Examples

limit as x approaches-7-of x^2+4/(x+7)

x \to - 7 - lim (x^{2} + \frac{4}{x + 7})

limit as x approaches 2 of 3x^2-4x+6

x \to 2 lim (3 x^{2} - 4 x + 6)

(\partial)/(\partial x)(ln(ln(x)))

\frac{\partial}{\partial x} (ln (ln (x)))

y^{^{'}} = 8 x + y

tangent of y=6sqrt(x),(9,18)tangent of

y = 6 x, (9, 18)

Frequently Asked Questions (FAQ)

What is the integral of 6/(x^5) ?
The integral of 6/(x^5) is -3/(2x^4)+C