Final answer to the problem
$\ln\left|\sec\left(x\right)+\tan\left(x\right)\right|+C_0$
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Step-by-step Solution
How should I solve this problem?
- Integrate by substitution
- Integrate by partial fractions
- 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
- FOIL Method
- Load more...
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1
Rewrite the trigonometric expression $\frac{1}{\cos\left(x\right)}$ inside the integral
$\int\sec\left(x\right)dx$
Learn how to solve trigonometric integrals problems step by step online.
$\int\sec\left(x\right)dx$
Learn how to solve trigonometric integrals problems step by step online. Solve the trigonometric integral int(1/cos(x))dx. Rewrite the trigonometric expression \frac{1}{\cos\left(x\right)} inside the integral. The integral of the secant function is given by the following formula, \displaystyle\int\sec(x)dx=\ln\left|\sec(x)+\tan(x)\right|. As the integral that we are solving is an indefinite integral, when we finish integrating we must add the constant of integration C.
Final answer to the problem
$\ln\left|\sec\left(x\right)+\tan\left(x\right)\right|+C_0$
