What is the integral of 5cos(x^2) ?

The integral of 5cos(x^2) is 5sqrt(pi/2)\C(sqrt(2/pi)x)+C

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integral of 5cos(x^2)

\int 5 cos (x^{2}) d x

5 \frac{π}{2} C (\frac{2}{π} x) + C

Solution steps

\int 5 cos (x^{2}) d x

Take the constant out:

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

= 5 \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)

= 5 \frac{π}{2} C (\frac{2}{π} x)

Add a constant to the solution

= 5 \frac{π}{2} C (\frac{2}{π} x) + C

(4, - 1), (- 1, - 4)

\frac{1}{s ^{2} + s ^{1} + s ^{1} + 1}

\int \frac{1}{u 5 - u ^{2}} d u

\int_{0}^{1} x^{4} (2 + 2 x^{5}) d x

\int (e^{x} + x^{e} - e x) d x

What is the integral of 5cos(x^2) ?
The integral of 5cos(x^2) is 5sqrt(pi/2)\C(sqrt(2/pi)x)+C