Solve ∫ a/b^2}dθ

$$\int{ \frac{ a }{ { b }^{ 2 } } }d \theta$$

Evaluate

$$\frac{a\theta }{b^{2}}+С$$

Solution Steps

Find the integral of \frac{a}{b^{2}} using the table of common integrals rule \int a\mathrm{d}\theta =a\theta .

$$\frac{a}{b^{2}}\theta$$

Simplify.

$$\frac{a\theta }{b^{2}}$$

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

$$\frac{a\theta }{b^{2}}+С$$

Differentiate w.r.t. a

$$\frac{\theta }{b^{2}}$$