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NCERT Class XII Mathematics Chapter - - Solutions

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Find the following integrals in Exercises 6 to 20.
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Question : 18 of 271
Marks: +1, -0
∫sec⁡x(sec⁡x+tan⁡x)dx\int \sec x (\sec x + \tan x) dx
Solution:  
Let I=∫sec⁡x(sec⁡x+tan⁡x)dxI = \int \sec x (\sec x + \tan x) dx
=∫(sec⁡2x+sec⁡xtan⁡x)dx= \int (\sec^2 x + \sec x \tan x) dx
=tan⁡x+sec⁡x+C= \tan x + \sec x + C
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