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Applying the trigonometric identity: $\displaystyle\sec\left(\theta\right)=\frac{1}{\cos\left(\theta\right)}$
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$\int\sec\left(x\right)\tan\left(x\right)dx$
Learn how to solve definition of derivative problems step by step online. Solve the trigonometric integral int(1/cos(x)tan(x))dx. Applying the trigonometric identity: \displaystyle\sec\left(\theta\right)=\frac{1}{\cos\left(\theta\right)}. We can solve the integral \int\sec\left(x\right)\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.