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Popular >

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

Solution

\int_{0}^{π} sin (x^{2}) d x

Solution

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

Solution steps

\int_{0}^{π} sin (x^{2}) d x

Use the nonelementary integral:

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

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

Compute the boundaries:

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

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

Popular Examples

integral of cot^3(x)

\int cot^{3} (x) d x

tangent of f(x)=sqrt(x+8),(8,4)tangent of

f (x) = x + 8, (8, 4)

integral of (2x)/(9-4x^2)

\int \frac{2 x}{9 - 4 x ^{2}} d x

inverse oflaplace (12)/(0.5s^2+4s+5)inverse laplace

\frac{12}{0.5 s ^{2} + 4 s + 5}

integral of (x-3)

\int (x - 3) d x

Frequently Asked Questions (FAQ)

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