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

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

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

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

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

Solution steps

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

Integral of a constant:

\int a d x = a x

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

Use the basic trigonometric identity:

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

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

Add a constant to the solution

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

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

y = lo g_{2} (x)

y^{^{''}} = \frac{x}{10}, y (0) = 0, y (0.015) = 0

\frac{d}{d x} (x^{4} - x^{3} + x)

n = 0 \sum \infty \frac{n !}{4 ^{n}}

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