Solve ∫ cos5θ/2 wrt x

$$\int \cos \frac { 5 \theta } { 2 } d x$$

Evaluate

$$x\cos(\frac{5\theta }{2})+С$$

Solution Steps

Find the integral of \cos(\frac{5\theta }{2}) using the table of common integrals rule \int a\mathrm{d}x=ax.

$$\cos(\frac{5\theta }{2})x$$

If F\left(x\right) is an antiderivative of f\left(x\right), then the set of all antiderivatives of f\left(x\right) is given by F\left(x\right)+C. Therefore, add the constant of integration C\in \mathrm{R} to the result.

$$\cos(\frac{5\theta }{2})x+С$$

Differentiate w.r.t. x

$$\cos(\frac{5\theta }{2})$$