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CBSE Class 12 Math 2011 Solved Paper

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Question : 6 of 29
Marks: +1, -0
Write the value of ∫ sec x (secx + tanx)dx
Solution:  
∫ secx (secx + tanx) dx
= ∫ (sec2sec^2 x + secx tanx dx
= 2 ∫ sec2sec^2 x dx + ∫ secx tanx dx
= tan x + sec x + c, where c is a constant
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