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

The integral from 0 to x of sin((pit^2)/2) is \S(x)-\S(0)

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integral from 0 to x of sin((pit^2)/2)

\int_{0}^{x} sin (\frac{π t ^{2}}{2}) d t

§ (x) - § (0)

Solution steps

\int_{0}^{x} sin (\frac{π t ^{2}}{2}) d t

Use the nonelementary integral:

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

= [§ (t)]_{0}^{x}

Compute the boundaries:

§ (x) - § (0)

= § (x) - § (0)

\frac{\partial}{\partial x} (e^{- x^{2}})

\int (11 x + 5) d x

\int x^{3} 1 + 4 x^{2} d x

\frac{d y}{d x}, y^{6} = x^{5}

2 - 3 x

What is the integral from 0 to x of sin((pit^2)/2) ?
The integral from 0 to x of sin((pit^2)/2) is \S(x)-\S(0)