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Expand the integral $\int\left(4\sec\left(x\right)\tan\left(x\right)-2\sec\left(2x\right)\right)dx$ into $2$ integrals using the sum rule for integrals, to then solve each integral separately
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$\int4\sec\left(x\right)\tan\left(x\right)dx+\int-2\sec\left(2x\right)dx$
Learn how to solve trigonometric integrals problems step by step online. Solve the trigonometric integral int(4sec(x)tan(x)-2sec(2x))dx. Expand the integral \int\left(4\sec\left(x\right)\tan\left(x\right)-2\sec\left(2x\right)\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. We can solve the integral \int4\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.