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Evaluate the following integrals: tan2x dx

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Question

Evaluate the following integrals:

tan2x dx

Evaluate
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Solution

1 + tan2x = sec2x

tan2x = sec2x – 1

`inttan^2 xdx = int(sec^2 x- 1) dx`

split the integral into two parts:

`intsec^2xdx - int 1dx`

∫sec2 x dx = tanx

∫1 dx = x

tan x – x + C
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Chapter 3: Indefinite Integration - Exercise 3.1 [Page 102]

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