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Expand (x+2y)"2", to four terms.

March 26, 2026Mathematics

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Answer

-2 \cos x + C

Step-by-step solution

4 steps

Use the double angle identity for sine, $\sin 2x = 2 \sin x \cos x$ , to rewrite the integrand.
$\int \frac{\sin 2x}{\cos x} \, dx = \int \frac{2 \sin x \cos x}{\cos x} \, dx$
Simplify the integrand by canceling out $\cos x$ .
$\int 2 \sin x \, dx$
Integrate the simplified expression.
The integral of $\sin x$ is $-\cos x$ .
$2 \int \sin x \, dx = 2(-\cos x) + C$
Write the final answer.
$-2 \cos x + C$

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