What is the integral from 0 to sin(x) of t^2 ?

The integral from 0 to sin(x) of t^2 is (sin^3(x))/3

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integral from 0 to sin(x) of t^2

\int_{0}^{s i n (x)} t^{2} d t

\frac{sin ^{3} ( x )}{3}

Solution steps

\int_{0}^{s i n (x)} t^{2} d t

Apply the Power Rule

: [\frac{t ^{3}}{3}]_{0}^{s i n (x)}

= [\frac{t ^{3}}{3}]_{0}^{s i n (x)}

Compute the boundaries:

\frac{sin ^{3} ( x )}{3}

= \frac{sin ^{3} ( x )}{3}

\int_{2}^{4} x^{2} - 4 x + 3 d x

\int_{10}^{\infty} \frac{1}{x ^{4}} d x

\int_{2}^{4} 3 x e^{x^{2} - 1} d x

\int_{- 1}^{1} - x^{2} + 4 d x

\int_{0}^{1} 10 ln (x) d x

What is the integral from 0 to sin(x) of t^2 ?
The integral from 0 to sin(x) of t^2 is (sin^3(x))/3