What is the integral of (cos^5(20))/(sqrt(sin(20)))0 ?

The integral of (cos^5(20))/(sqrt(sin(20)))0 is cos^5(20)sqrt(csc(20))d+C

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integral of (cos^5(20))/(sqrt(sin(20)))0

\int \frac{cos ^{5} ( 20 )}{sin ( 20 )} d^{0} dd

cos^{5} (20) csc (20) d + C

Solution steps

\int \frac{cos ^{5} ( 20 )}{sin ( 20 )} d^{0} dd

Simplify

= \int \frac{cos ^{5} ( 20 )}{sin ( 20 )} dd

Integral of a constant:

\int a d x = a x

= \frac{cos ^{5} ( 20 )}{sin ( 20 )} d

Use the basic trigonometric identity:

\frac{1}{sin ( x )} = csc (x)

= cos^{5} (20) csc (20) d

Add a constant to the solution

= cos^{5} (20) csc (20) d + C

x \to 0 lim (\frac{x}{arctan ( 6 x )})

x \to 0 + lim (x^{2} + 3 x - 4)

\frac{d}{d x} (\frac{10}{1 + e ^{- x}})

\frac{d y}{d x} + (\frac{1}{200 + 3 x}) y = 8

- 4 x y^{4} = \frac{d y}{d x}

What is the integral of (cos^5(20))/(sqrt(sin(20)))0 ?
The integral of (cos^5(20))/(sqrt(sin(20)))0 is cos^5(20)sqrt(csc(20))d+C