Final answer to the problem
$\sec\left(x\right)^{4}$
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Step-by-step Solution
How should I solve this problem?
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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
The trinomial $\tan\left(x\right)^4+2\tan\left(x\right)^2+1$ is a perfect square trinomial, because it's discriminant is equal to zero
Learn how to solve perfect square trinomial problems step by step online.
$\Delta=b^2-4ac=2^2-4\left(1\right)\left(1\right) = 0$
Learn how to solve perfect square trinomial problems step by step online. Simplify the trigonometric expression tan(x)^4+2tan(x)^2+1. The trinomial \tan\left(x\right)^4+2\tan\left(x\right)^2+1 is a perfect square trinomial, because it's discriminant is equal to zero. Using the perfect square trinomial formula. Factoring the perfect square trinomial. Applying the trigonometric identity: 1+\tan\left(\theta \right)^2 = \sec\left(\theta \right)^2.
Final answer to the problem
$\sec\left(x\right)^{4}$
