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We can solve the integral $\int\sec\left(x\right)dx$ 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
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$t=\tan\left(\frac{x}{2}\right)$
Learn how to solve trigonometric integrals problems step by step online. Solve the trigonometric integral int(sec(x))dx. We can solve the integral \int\sec\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. Simplifying.