integration of e ^ 2 t =? in steps
brunoconti:
= (1/2)*e^(2t) + C
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Step-by-step explanation:
Use the half angle formula, sin^2(x) = 1/2*(1 - cos(2x)) and substitute into the integral so it becomes 1/2 times the integral of (1 - cos(2x)) dx. Set u = 2x and du = 2dx to perform u substitution on the integral. Since dx = du/2, the result is 1/4 times the integral of (1 - cos(u)) du. Integrate the equation.
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