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Popular >

integral of 6/(z^4)

Solution

\int \frac{6}{z ^{4}} d z

Solution

- \frac{2}{z ^{3}} + C

Solution steps

\int \frac{6}{z ^{4}} d z

Take the constant out:

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

= 6 \cdot \int \frac{1}{z ^{4}} d z

Apply the Power Rule

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

= 6 (- \frac{1}{3 z ^{3}})

Simplify

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

= - \frac{2}{z ^{3}}

Add a constant to the solution

= - \frac{2}{z ^{3}} + C

Graph

Popular Examples

limit as x approaches 4 of (sqrt(x))/x

x \to 4 lim (\frac{x}{x})

tangent of f(x)=4x^2-2x,\at x=-1 tangent of

f (x) = 4 x^{2} - 2 x, at x = - 1

tangent of 3x^2 tangent of

3 x^{2}

integral of (8x^2+3x^4+5/(2x^8)+e^x)

\int (8 x^{2} + 3 x^{4} + \frac{5}{2 x ^{8}} + e^{x}) d x

xy^'-y=2020x^2,y(1)=1

x y^{^{'}} - y = 2020 x^{2}, y (1) = 1

Frequently Asked Questions (FAQ)

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