Final answer to the problem
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
- Load more...
Multiply the single term $4$ by each term of the polynomial $\left(\tan\left(\frac{x}{4}\right)\sin\left(\frac{x}{4}\right)+\cos\left(\frac{x}{4}\right)\right)$
Learn how to solve factorization problems step by step online.
$\frac{3\sec\left(\frac{x}{4}\right)}{4\tan\left(\frac{x}{4}\right)\sin\left(\frac{x}{4}\right)+4\cos\left(\frac{x}{4}\right)}$
Learn how to solve factorization problems step by step online. Simplify the trigonometric expression (3sec(x/4))/(4(tan(x/4)sin(x/4)+cos(x/4))). Multiply the single term 4 by each term of the polynomial \left(\tan\left(\frac{x}{4}\right)\sin\left(\frac{x}{4}\right)+\cos\left(\frac{x}{4}\right)\right). Applying the secant identity: \displaystyle\sec\left(\theta\right)=\frac{1}{\cos\left(\theta\right)}. Apply the trigonometric identity: \tan\left(\frac{\theta }{4}\right)=\frac{\sin\left(\frac{\theta }{2}\right)}{\cos\left(\frac{\theta }{2}\right)+1}. Divide fractions \frac{\frac{3}{\cos\left(\frac{x}{4}\right)}}{\frac{4\sin\left(\frac{x}{2}\right)}{\cos\left(\frac{x}{2}\right)+1}\sin\left(\frac{x}{4}\right)+4\cos\left(\frac{x}{4}\right)} with Keep, Change, Flip: \frac{a}{b}\div c=\frac{a}{b}\div\frac{c}{1}=\frac{a}{b}\times\frac{1}{c}=\frac{a}{b\cdot c}.
