What is the integral of cos^3(θ)+cos(θ)sin^2(θ) ?

The integral of cos^3(θ)+cos(θ)sin^2(θ) is sin(θ)+C

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integral of cos^3(θ)+cos(θ)sin^2(θ)

\int cos^{3} (θ) + cos (θ) sin^{2} (θ) d θ

sin (θ) + C

Solution steps

\int cos^{3} (θ) + cos (θ) sin^{2} (θ) d θ

Rewrite using trig identities

= \int cos (θ) d θ

Use the common integral:

\int cos (θ) d θ = sin (θ)

= sin (θ)

Add a constant to the solution

= sin (θ) + C

n = 1 \sum \infty \frac{5}{7 ^{n}}

y (x + y + 1) d x + 2 x y d y = 0

\int_{0}^{4} \frac{x}{x ^{2} + 1} d x

\frac{d}{d x} (x^{\frac{4}{5}} - x^{\frac{2}{3}})

\int \frac{2 x}{x + 3} d x

What is the integral of cos^3(θ)+cos(θ)sin^2(θ) ?
The integral of cos^3(θ)+cos(θ)sin^2(θ) is sin(θ)+C