AP

MATHEMATICS · Single correct · AP · Calculus AB · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

∫11+cos⁡2x dx=\int \frac{1}{1+\cos^2 x}\,dx = (a) 12tan⁡−1(tan⁡x)+c\frac{1}{\sqrt{2}}\tan^{-1}(\tan x)+c (b) 12tan⁡−1(12tan⁡x)+c\frac{1}{\sqrt{2}}\tan^{-1}\left(\frac{1}{2}\tan x\right)+c (c) 12tan⁡−1(12tan⁡x)+c\frac{1}{\sqrt{2}}\tan^{-1}\left(\frac{1}{\sqrt{2}}\tan x\right)+c (d) None of these

Related theory

Browse the problem library