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Popular >

simplify (1-cos^2(x))sin(x)dx

Solution

simplify

(1 - cos^{2} (x)) sin (x) d x

Solution

sin^{3} (x) d x

Solution steps

(1 - cos^{2} (x)) sin (x) d x

Simplify

1 - cos^{2} (x) : sin^{2} (x)

= sin^{2} (x) sin (x) d x

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

sin^{2} (x) sin (x) = sin^{2 + 1} (x)

= sin^{2 + 1} (x) d x

Add the numbers:

2 + 1 = 3

= sin^{3} (x) d x

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Frequently Asked Questions (FAQ)

What is (1-cos^2(x))sin(x)dx ?
The solution to (1-cos^2(x))sin(x)dx is sin^3(x)dx