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Learn how to solve integrals of rational functions problems step by step online.
$\int_{0}^{\frac{\pi}{2}}\cos\left(x\right)\sin\left(x\right)dx$
Learn how to solve integrals of rational functions problems step by step online. Integrate the function cos(x)sin(x) from 0 to pi/2. Simplifying. We can solve the integral \int\cos\left(x\right)\sin\left(x\right)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.