Woods, Frederick S. (Frederick Shenstone), 1864-, Bailey, Frederick H. (Frederick Harold), 1865- · Boston, New York [etc.] Ginn and Company · leaf 253
the value of jsecxdx. /r dx r coQxdxsecxdx = I = IJ cosx J cosx t/ cosx J sm- x - 1 2 & 1 + sin x 1 . 1 + sin x-log- :— 4- C 2 1 — sin x 1, (1 + sinx)2 ~2IOg l-sin2x +C ilog(l± 2 °\ c< sinx\2 _ 2 \ cos x= log (sec x + tan x) 4- C. 236 INTEGRATION <t.r Ex. 6. Find the value of f—~ J 1 + 2… … Now let tan - = z. Then sec2-dx = 2 dz, and the integral assumesthe form 2dz 2 . g-V3 —- log — V3 z +V3 tan - + V3 9 Hence f ^ = —- log + C. Jl + 2cosx V3 %an|-V3 115. Integrals of exponential functions. The formulas eudu = eu (1) and Caudu = -^-au (2) J log a are derived immediately from the…
Geometry, Analytic · Calculus
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