What is the integral from 0 to 1 of 11cos(x^2) ?

The integral from 0 to 1 of 11cos(x^2) is 11(sqrt(pi/2)\C(sqrt(2/pi)*1)-sqrt(pi/2)\C(sqrt(2/pi)*0))

Popular >

integral from 0 to 1 of 11cos(x^2)

\int_{0}^{1} 11 cos (x^{2}) d x

11 (\frac{π}{2} C (\frac{2}{π} \cdot 1) - \frac{π}{2} C (\frac{2}{π} \cdot 0))

Solution steps

\int_{0}^{1} 11 cos (x^{2}) d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 11 \cdot \int_{0}^{1} cos (x^{2}) d x

Use the nonelementary integral:

\int cos (x^{2}) d x = \frac{π}{2} C (\frac{2}{π} x)

= 11 [\frac{π}{2} C (\frac{2}{π} x)]_{0}^{1}

Compute the boundaries:

\frac{π}{2} C (\frac{2}{π} \cdot 1) - \frac{π}{2} C (\frac{2}{π} \cdot 0)

= 11 (\frac{π}{2} C (\frac{2}{π} \cdot 1) - \frac{π}{2} C (\frac{2}{π} \cdot 0))

\frac{3}{5 x ^{3}}

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

f (x) = 2 x^{2} - 5 x + 4, at x = 0

n = 1 \sum \infty \frac{3 n}{4 n + 5}

\int \frac{1}{- sec ^{2} ( x )} d x

What is the integral from 0 to 1 of 11cos(x^2) ?
The integral from 0 to 1 of 11cos(x^2) is 11(sqrt(pi/2)\C(sqrt(2/pi)*1)-sqrt(pi/2)\C(sqrt(2/pi)*0))