What is the integral of ycsc(3)y^2cot(3)y^2 ?

The integral of ycsc(3)y^2cot(3)y^2 is 1/6 csc(3)cot(3)y^6+C

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integral of ycsc(3)y^2cot(3)y^2

\int y csc (3) y^{2} cot (3) y^{2} d y

\frac{1}{6} csc (3) cot (3) y^{6} + C

Solution steps

\int y csc (3) y^{2} cot (3) y^{2} d y

Take the constant out:

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

= csc (3) cot (3) \cdot \int y y^{2} y^{2} d y

Simplify

y y^{2} y^{2} : y^{5}

= csc (3) cot (3) \cdot \int y^{5} d y

Apply the Power Rule

: \frac{y ^{6}}{6}

= csc (3) cot (3) \frac{y ^{6}}{6}

Simplify

csc (3) cot (3) \frac{y ^{6}}{6} : \frac{1}{6} csc (3) cot (3) y^{6}

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

Add a constant to the solution

= \frac{1}{6} csc (3) cot (3) y^{6} + C

\int_{0}^{5} t^{3} d t

14 (2 x + 5)^{6}

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

\int_{0}^{10} \frac{1}{100 + x ^{2}} d x

\int e^{- i wt} d t

What is the integral of ycsc(3)y^2cot(3)y^2 ?
The integral of ycsc(3)y^2cot(3)y^2 is 1/6 csc(3)cot(3)y^6+C