What is expand sin(x)(1+sqrt(cos(x))dx) ?

The solution to expand sin(x)(1+sqrt(cos(x))dx) is sin(x)+dxsin(x)sqrt(cos(x))

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expand sin(x)(1+sqrt(cos(x))dx)

expand

sin (x) (1 + cos (x) d x)

sin (x) + d x sin (x) cos (x)

Solution steps

sin (x) (1 + cos (x) d x)

= sin (x) (1 + d x cos (x))

Apply the distributive law:

a (b + c) = ab + a c

a = sin (x), b = 1, c = cos (x) d x

= sin (x) \cdot 1 + sin (x) cos (x) d x

= 1 \cdot sin (x) + d x sin (x) cos (x)

Multiply:

1 \cdot sin (x) = sin (x)

= sin (x) + d x sin (x) cos (x)

(e^{2} x^{2} + 1)^{2}

- \frac{2 ( 8 s + 23 )}{( s - 4 ) ( s ( 1 + s ) - 6 )}

\frac{2 x ^{2}}{( x - 2 ) ( x ^{2} + a )}

3 (x + 2)^{- 1} - 4 (3 - x)^{- 1}

\frac{y ^{2} + x ^{2}}{( x + y ) ^{2}}

What is expand sin(x)(1+sqrt(cos(x))dx) ?
The solution to expand sin(x)(1+sqrt(cos(x))dx) is sin(x)+dxsin(x)sqrt(cos(x))