Evaluate ∫(5 sec x)(2 tan x)dx?
A. 10sec x + C
B. 10sec^-2 x + C
C. -10sec x + C
D. 10tan^2 x + C
E. -10tan x sec x + C
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A. 10sec x + C
B. 10sec^-2 x + C
C. -10sec x + C
D. 10tan^2 x + C
E. -10tan x sec x + C
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∫ 10 sec x tanx dx
10 ∫ (1/cosx) (sin x / cosx) dx
10 ∫ ( sin x / cos^2 x) dx
10 ∫ ( sin x / 1 - sin^2 x) dx ( since cos^2 x = 1 - sin^2 x )
10 sec x + C