Final answer to the problem
$2+2\cos\left(2t\right)$
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Step-by-step Solution
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- Find the derivative
- Integrate using basic integrals
- Verify if true (using algebra)
- 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
Apply the trigonometric identity: $\cos\left(\theta \right)^2$$=\frac{1+\cos\left(2\theta \right)}{2}$, where $x=t$
$\frac{4\left(1+\cos\left(2t\right)\right)}{2}$
Learn how to solve simplify trigonometric expressions problems step by step online.
$\frac{4\left(1+\cos\left(2t\right)\right)}{2}$
Learn how to solve simplify trigonometric expressions problems step by step online. Simplify the trigonometric expression 4cos(t)^2. Apply the trigonometric identity: \cos\left(\theta \right)^2=\frac{1+\cos\left(2\theta \right)}{2}, where x=t. Take \frac{4}{2} out of the fraction. Multiply the single term 2 by each term of the polynomial \left(1+\cos\left(2t\right)\right).
Final answer to the problem
$2+2\cos\left(2t\right)$
