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

The integral from 0 to sin(x) of sin(t^2) is Undefined-sqrt(pi/2)\S(sqrt(2/pi)*0)

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

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

Undefined - \frac{π}{2} § (\frac{2}{π} \cdot 0)

Solution steps

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

Use the nonelementary integral:

\int sin (x^{2}) d x = \frac{π}{2} § (\frac{2}{π} x)

= [\frac{π}{2} § (\frac{2}{π} t)]_{0}^{s i n (x)}

Compute the boundaries:

Undefined

- \frac{π}{2} § (\frac{2}{π} \cdot 0)

= Undefined - \frac{π}{2} § (\frac{2}{π} \cdot 0)

What is the integral from 0 to sin(x) of sin(t^2) ?
The integral from 0 to sin(x) of sin(t^2) is Undefined-sqrt(pi/2)\S(sqrt(2/pi)*0)