Final answer to the problem
$-\cos\left(2x\right)$
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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
Simplify $\sqrt{\sin\left(x\right)^4}$ using the power of a power property: $\left(a^m\right)^n=a^{m\cdot n}$. In the expression, $m$ equals $4$ and $n$ equals $\frac{1}{2}$
$\left(\sin\left(x\right)^{2}+\sqrt{1\cos\left(x\right)^4}\right)\left(\sqrt{\sin\left(x\right)^4}-\sqrt{1\cos\left(x\right)^4}\right)$
Learn how to solve problems step by step online. Simplify the trigonometric expression sin(x)^4-cos(x)^4. Simplify \sqrt{\sin\left(x\right)^4} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 4 and n equals \frac{1}{2}. Any expression multiplied by 1 is equal to itself. Simplify \sqrt{\cos\left(x\right)^4} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 4 and n equals \frac{1}{2}. Any expression multiplied by 1 is equal to itself.
Final answer to the problem
$-\cos\left(2x\right)$
