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Popular >

integral of 6/(y^4)

Solution

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

Solution

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

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule

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

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

Simplify

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

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

Add a constant to the solution

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

Popular Examples

integral of (x^2)^2x^2)^2

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

derivative of arctan(e^x)derivative of

arctan (e^{x})

(dx)/(dt)= 5/(xe^{t+6x)}

\frac{d x}{d t} = \frac{5}{x e ^{t + 6 x}}

integral of t/2

\int \frac{t}{2} d t

derivative of x^2+2x+1

\frac{d}{d x} (x^{2} + 2 x + 1)

Frequently Asked Questions (FAQ)

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