Question
Evaluate the integrals in Exercises $1-22$ .$$\int \cos ^{3} x d x$$
Step 1
We can rewrite this integral by separating one of the cosine terms and using the Pythagorean identity $\sin^2x + \cos^2x = 1$ to express $\cos^2x$ as $1 - \sin^2x$. This gives us: $$\int \cos^3x dx = \int (1 - \sin^2x) \cos x dx$$ Show more…
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