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Exercise

$\int\:\frac{d\theta\:}{cos^2\theta\:}$

Step-by-step Solution

1

Rewrite the trigonometric expression $\frac{1}{\cos\left(\theta\right)^2}$ inside the integral

$\int\sec\left(\theta\right)^2dt$
2

The integral of $\sec(x)^2$ is $\tan(x)$

$\tan\left(\theta\right)$
3

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

$\tan\left(\theta\right)+C_0$

Final answer to the exercise

$\tan\left(\theta\right)+C_0$

Try other ways to solve this exercise

  • Choose an option
  • Integrate by partial fractions
  • Integrate by substitution
  • 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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Main Topic: Trigonometric Integrals

Integrals that contain trigonometric functions and their powers.

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