What is the integral of y=cos(x^2)(0.1) ?

The integral of y=cos(x^2)(0.1) is 0.12533…\C(sqrt(2/pi)x)+C

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integral of y=cos(x^2)(0.1)

integral

y = cos (x^{2}) (0.1)

0.12533 \dots C (\frac{2}{π} x) + C

Solution steps

\int cos (x^{2}) \cdot 0.1 d x

Take the constant out:

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

= 0.1 \cdot \int cos (x^{2}) d x

Use the nonelementary integral:

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

= 0.1 \frac{π}{2} C (\frac{2}{π} x)

Simplify

= 0.12533 \dots C (\frac{2}{π} x)

Add a constant to the solution

= 0.12533 \dots C (\frac{2}{π} x) + C

t^{2} (e^{t})^{2}

4 x^{10}

\frac{1}{x} + \frac{1}{e ^{x}}

\frac{r ^{2}}{( 1 + r ^{2} )}

\frac{1 - sin ^{2} ( x )}{sin ^{2} ( x )}

What is the integral of y=cos(x^2)(0.1) ?
The integral of y=cos(x^2)(0.1) is 0.12533…\C(sqrt(2/pi)x)+C