Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °
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Mikau is correct. Besides if you just integrate sec x = 1 / cos x
Basicly we begin with sec x. We multiply above and below by sec x + tan x to get:
They did say it isn't intuitive...I really don't know. They might have chosen that identity simply for ease of simplification after integration. I am in no way a proofs guy.
why multiply by sec x + tan x? Why not sin x + cos x? Or csc x + cot x?
What you are looking for can be found here:
I do not understand how the integral of secant x is ln(secant x + tangent x)+C and how the integral of cosecant x is -ln(cosecant x + cotangent x). Can someone please explain to me how these are derived?