Final answer to the problem
$\cos\left(w\right)-\cos\left(w\right)^{3}$
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Step-by-step Solution
How should I solve this problem?
- Choose an option
- Find the derivative
- Integrate using basic integrals
- Verify if true (using algebra)
- Verify if true (using arithmetic)
- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
- Integrate by substitution
- Integrate by parts
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1
Why is 1 - cos(x)^2 = sin(x)^2 ?
Applying the trigonometric identity: $\sin\left(\theta \right)^2 = 1-\cos\left(\theta \right)^2$
Learn how to solve problems step by step online.
$\left(1-\cos\left(w\right)^2\right)\cos\left(w\right)$
Learn how to solve problems step by step online. Simplify the trigonometric expression sin(w)^2cos(w). Applying the trigonometric identity: \sin\left(\theta \right)^2 = 1-\cos\left(\theta \right)^2. Multiply the single term \cos\left(w\right) by each term of the polynomial \left(1-\cos\left(w\right)^2\right). When multiplying exponents with same base you can add the exponents: -\cos\left(w\right)^2\cos\left(w\right).
Final answer to the problem
$\cos\left(w\right)-\cos\left(w\right)^{3}$
