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Solving: $\int\cos\left(a\right)^2da$
Solve instead: $\int\cos\left(a\right)^2dx$

Exercise

$\int\cos\left(a\right)^2dx$

Step-by-step Solution

1

Apply the formula: $\int\cos\left(\theta \right)^2dx$$=\frac{1}{2}\theta +\frac{1}{4}\sin\left(2\theta \right)+C$, where $x=a$

$\frac{1}{2}a+\frac{1}{4}\sin\left(2a\right)$
2

As the integral that we are solving is an indefinite integral, when we finish integrating we must add the constant of integration $C$

$\frac{1}{2}a+\frac{1}{4}\sin\left(2a\right)+C_0$

Final answer to the exercise

$\frac{1}{2}a+\frac{1}{4}\sin\left(2a\right)+C_0$

Try other ways to solve this exercise

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  • Integrate by partial fractions
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  • Integrate by parts
  • Integrate using tabular integration
  • Integrate by trigonometric substitution
  • Weierstrass Substitution
  • Integrate using trigonometric identities
  • Integrate using basic integrals
  • Product of Binomials with Common Term
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