Solve the trigonometric integral $\int\frac{\left(\frac{\pi}{4}\right)^{\frac{\pi }{2}}}{\sin\left(2x\right)}dx$

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$\int\frac{\left(\frac{\pi}{4}\right)^{\frac{\pi}{2}}}{\sin\left(2x\right)}dx$

Learn how to solve trigonometric integrals problems step by step online. Solve the trigonometric integral int((pi/4^(pi/2))/sin(2x))dx. Simplifying. Simplify the expression inside the integral. The integral of a function times a constant (0.684239) is equal to the constant times the integral of the function. We can solve the integral \int\csc\left(2x\right)dx by applying integration by substitution method (also called U-Substitution). First, we must identify a section within the integral with a new variable (let's call it u), which when substituted makes the integral easier. We see that 2x it's a good candidate for substitution. Let's define a variable u and assign it to the choosen part.