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which method will help integrate this? integral sec(x) dx A. re-write sec(x) as

ID: 2881049 • Letter: W

Question

which method will help integrate this? integral sec(x) dx A. re-write sec(x) as 1/cos(x), cos(x)/cos(x) then trig identities, u-sub etc. B. make the u-sub u = tan(x/2) C. write sec(x) as sec(x). sec(x) + tan(x)/sec(x) + tan(x) then a u-sub consider both the methods and the solution to integral sin^11 xdx integral sin^11 xdx = -1/11 sin^10 x cos x + 10/11 integral sin^9 xdx B. working method is to use by parts with dv = sin xdx to obtain a reduction formula Select method/s that are "helpful" in computing the integral integral arctan(x)/x^2 dx A. start with u-sub with u = arctan(x) B. sub x = tan (u) C. sub x = tan(u/5) D. start with by-parts with u = arctan(x) E. start with by-parts with u = 1 F. none of these

Explanation / Answer

(3) Answer : Option (C) Is correct answer

(4) Answer : Option (B) Using by parts, one can find the reduction formula.

(5) Answer : Option (D) By substituting, u=tan^-1(x), one can find the standard for to apply the by parts.