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The integral of a function times a constant ($2$) is equal to the constant times the integral of the function
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$2\int\tan\left(x\right)dx$
Learn how to solve trigonometric integrals problems step by step online. Solve the trigonometric integral int(2tan(x))dx. The integral of a function times a constant (2) is equal to the constant times the integral of the function. The integral of the tangent function is given by the following formula, \displaystyle\int\tan(x)dx=-\ln(\cos(x)). As the integral that we are solving is an indefinite integral, when we finish integrating we must add the constant of integration C.