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...
Expand the expression $\left(1+\cos\left(x\right)\right)^2$ using the square of a binomial: $(a+b)^2=a^2+2ab+b^2$
Learn how to solve integration techniques problems step by step online.
$\int_{0}^{\frac{\pi }{2}}\frac{4}{1+2\cos\left(x\right)+\cos\left(x\right)^{2}}dx$
Learn how to solve integration techniques problems step by step online. Integrate the function 4/((1+cos(x))^2) from 0 to pi/2. 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. The integral of a function times a constant (4) is equal to the constant times the integral of the function. The trinomial 1+2\cos\left(x\right)+\cos\left(x\right)^{2} is a perfect square trinomial, because it's discriminant is equal to zero. Using the perfect square trinomial formula.
