Integral tan^2(x)sec(x)powers of secant and tangent Integral tan^2(x)sec(x)powers of secant and tangent{eq}(\sec x 1)(\sec x 1) = \tan^2x {/eq} (Our given) {eq}\sec^2 x 1 = \tan^2x {/eq} (We multiply the expressions on the left using FOIL) {eq}1\tan^2 x 1 = \tan^2x {/eq}There appears to be an ambiguity in the question that can be read in two ways We will accordingly solve the integral for both the possibilities Let I = ∫ (1/tanx) cosec x cot x sec x dx We know that integral of sum of functions equals sum of integrals of the functions taken separately ∴ I = ∫(1/tanx) dx ∫cosec x dx ∫
2 Cot 4x 2 Tan X Sec X X2 Cos 2x 1 Sin X Cos X Tan 4 3x Cos 2x F X X Cos X 2 Acirc Euro Rdquo Cos Pdf Document