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- 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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Expand the expression $\left(1+\cos\left(x\right)\right)^2$ using the square of a binomial: $(a+b)^2=a^2+2ab+b^2$
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$\int\frac{1}{1+2\cos\left(x\right)+\cos\left(x\right)^{2}}dx$
Learn how to solve problems step by step online. Solve the trigonometric integral int(1/((1+cos(x))^2))dx. Expand the expression \left(1+\cos\left(x\right)\right)^2 using the square of a binomial: (a+b)^2=a^2+2ab+b^2. We can solve the integral \int\frac{1}{1+2\cos\left(x\right)+\cos\left(x\right)^{2}}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.
