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$\int_{0}^{\frac{\pi}{2}}\tan\left(t\right)dt$
Learn how to solve problems step by step online. Integrate the function tan(t) from 0 to pi/2. Simplifying. The integral of the tangent function is given by the following formula, \displaystyle\int\tan(x)dx=-\ln(\cos(x)). Replace the integral's limit by a finite value. Evaluate the definite integral.