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INTEGRALS — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsINTEGRALS1 Mark
Question
Find the following integrals in Exercises:

$\int\sec\text{x}(\sec\text{x}+\tan\text{x})\text{ dx}$

 

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Answer

$\int\sec\text{x}(\sec\text{x}+\tan\text{x})\text{ dx}$
$=\int(\sec^2\text{x}+\sec\text{x }\tan\text{x})\text{ dx} $
$=\int\sec^2\text{x}\text{ dx}+\int\sec\text{x}\tan\text{x}\text{ dx} $
$=\tan\text{x}+\sec\text{x}+\text{c}$

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