What is the integral of (sin(20)(x))/(sin(10)(x)) ?

The integral of (sin(20)(x))/(sin(10)(x)) is sin(20)csc(10)x+C

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integral of (sin(20)(x))/(sin(10)(x))

\int \frac{sin ( 20 ) ( x )}{sin ( 10 ) ( x )} d x

sin (20) csc (10) x + C

Solution steps

\int \frac{sin ( 20 ) x}{sin ( 10 ) x} d x

Cancel the common factor:

x

= \int \frac{sin ( 20 )}{sin ( 10 )} d x

Integral of a constant:

\int a d x = a x

= \frac{sin ( 20 )}{sin ( 10 )} x

Use the basic trigonometric identity:

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

= sin (20) csc (10) x

Add a constant to the solution

= sin (20) csc (10) x + C

d er i v a t i v e 6 cos (3 x + 3)

d er i v a t i v e y = e^{7 x}

l a pl a ce t r an s f or m e^{2 t} cos (2 t)

\frac{d}{d x} (1 - 10 x)

y^{^{''}} - 5 y^{^{'}} = (5 t + 9) sin (2 t)

What is the integral of (sin(20)(x))/(sin(10)(x)) ?
The integral of (sin(20)(x))/(sin(10)(x)) is sin(20)csc(10)x+C