** Final answer to the problem

**

** Step-by-step Solution ** **

** How should I solve this problem?

- 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
- Load more...

**

**

We can solve the integral $\int\frac{1}{\cos\left(x\right)+\sin\left(x\right)+1}dx$ by applying the method Weierstrass substitution (also known as tangent half-angle substitution) which converts an integral of trigonometric functions into a rational function of $t$ by setting the substitution

Learn how to solve trigonometric integrals problems step by step online.

$t=\tan\left(\frac{x}{2}\right)$

Learn how to solve trigonometric integrals problems step by step online. Solve the trigonometric integral int(1/(cos(x)+sin(x)+1))dx. We can solve the integral \int\frac{1}{\cos\left(x\right)+\sin\left(x\right)+1}dx by applying the method Weierstrass substitution (also known as tangent half-angle substitution) which converts an integral of trigonometric functions into a rational function of t by setting the substitution. Hence. Substituting in the original integral we get. Simplifying.

** Final answer to the problem ** **

**