Final answer to the problem
$\sin\left(4032\pi \right)\cos\left(5x\right)-\cos\left(4032\pi \right)\sin\left(5x\right)+\sin\left(5x\right)$
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Step-by-step Solution
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- Find the derivative
- Integrate using basic integrals
- Verify if true (using algebra)
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- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
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1
Using the sine of a sum formula: $\sin(\alpha\pm\beta)=\sin(\alpha)\cos(\beta)\pm\cos(\alpha)\sin(\beta)$, where angle $\alpha$ equals $4032\pi $, and angle $\beta$ equals $-5x$
$\sin\left(4032\pi \right)\cos\left(5x\right)-\cos\left(4032\pi \right)\sin\left(5x\right)+\sin\left(5x\right)$
Final answer to the problem
$\sin\left(4032\pi \right)\cos\left(5x\right)-\cos\left(4032\pi \right)\sin\left(5x\right)+\sin\left(5x\right)$
