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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

Popular Examples

integral of (x^{3/2}+10x+4)

\int (x^{\frac{3}{2}} + 10 x + 4) d x

integral of (1-2x^2)/x

\int \frac{1 - 2 x ^{2}}{x} d x

integral of sqrt(1+csc(x))

\int 1 + csc (x) d x

integral of e^2xcos(x)

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

integral of 1/(x^2)(x^4-2x^2+1)

\int \frac{1}{x ^{2}} (x^{4} - 2 x^{2} + 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