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Exercise

$6\cos x^2$

Step-by-step Solution

1

Apply the trigonometric identity: $\cos\left(\theta \right)^2$$=\frac{1+\cos\left(2\theta \right)}{2}$

$\frac{6\left(1+\cos\left(2x\right)\right)}{2}$
2

Take $\frac{6}{2}$ out of the fraction

$3\left(1+\cos\left(2x\right)\right)$
3

Multiply the single term $3$ by each term of the polynomial $\left(1+\cos\left(2x\right)\right)$

$3+3\cos\left(2x\right)$

Final answer to the exercise

$3+3\cos\left(2x\right)$

Try other ways to solve this exercise

  • 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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