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