Question:
\(\displaystyle \int (4\cos x-5\sin x)\,dx=\ \ ?\)
\(\displaystyle \int (4\cos x-5\sin x)\,dx=\ \ ?\)
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Linearity: integrate each term, then add a single constant $k$.
Updated On: Oct 17, 2025
- \(k+4\sin x+5\cos x\)
- \(k-4\sin x-5\cos x\)
- \(k+4\sin x-5\cos x\)
- \(k-4\sin x+5\cos x\)
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The Correct Option is A
Solution and Explanation
Integrate term by term:
\(\int 4\cos x\,dx=4\sin x\).
\(\int -5\sin x\,dx=5\cos x\).
Add the constant \(k\).
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