Compute the integral using the suggested method integral sec

Compute the integral using the suggested method integral sec2theta tan4theta d theta [Trigonometric Identity, Reduction Formula] Evaluate the integrals integral sin2(3theta) cos(3 theta) d theta Find the Taylor polynomial T3(x)At X = (a Where a = -2 for the function f(x) = x3

Solution

a) Put \\(tan x = t;\\; \\sec x \\tan x dx = dt;\\;\\; \\int t^2dt\\) Answer: \\(\\(1/5)tan^5 x + c\\)