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Popular >

integral of 1/(6y^4)

Solution

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

Solution

- \frac{1}{18 y ^{3}} + C

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule

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

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

Simplify

\frac{1}{6} (- \frac{1}{3 y ^{3}}) : - \frac{1}{18 y ^{3}}

= - \frac{1}{18 y ^{3}}

Add a constant to the solution

= - \frac{1}{18 y ^{3}} + C

Graph

Popular Examples

integral of-3x^{-5}+7x^2-6x+3

\int - 3 x^{- 5} + 7 x^{2} - 6 x + 3 d x

integral of (x-48)/((x+2)(x-3))

\int \frac{x - 48}{( x + 2 ) ( x - 3 )} d x

integral of 1/((x^{2/3)+1)*x^{2/3}}

\int \frac{1}{( x ^{\frac{2}{3}} + 1 ) \cdot x ^{\frac{2}{3}}} d x

integral of (-9x+27)/((x^2+2x+4)^2)

\int \frac{- 9 x + 27}{( x ^{2} + 2 x + 4 ) ^{2}} d x

integral of 7/(6x+8)

\int \frac{7}{6 x + 8} d x

Frequently Asked Questions (FAQ)

What is the integral of 1/(6y^4) ?
The integral of 1/(6y^4) is -1/(18y^3)+C