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Popular >

integral of-3/(y^4)

Solution

\int - \frac{3}{y ^{4}} d y

Solution

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

Solution steps

\int - \frac{3}{y ^{4}} d y

Take the constant out:

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

= - 3 \cdot \int \frac{1}{y ^{4}} d y

Apply the Power Rule

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

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

Simplify

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

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

Add a constant to the solution

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

Graph

Popular Examples

integral of 2^x*7^x

\int 2^{x} \cdot 7^{x} d x

integral of 1/([(x-1)^2+1]^2)x-1)

\int \frac{1}{[ ( x - 1 ) ^{2} + 1 ] ^{2}} d (x - 1) d x

integral of (x^3)/(1+x^6)

\int \frac{x ^{3}}{1 + x ^{6}} d x

integral of sin^3(x)+sin(x)

\int sin^{3} (x) + sin (x) d x

integral of (-10)/(xsqrt(x+1))

\int \frac{- 10}{x x + 1} d x

Frequently Asked Questions (FAQ)

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