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Home  >>  CBSE XII  >>  Math  >>  Integrals
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$\int\;\large\frac{a\sin x+6}{cos^2x}$$dx$

$(A)\;a\tan x+6\sec x+c\qquad(B)\;a\sec^2x+6\tan^2x+c\qquad(C)\;a\sec x+6\tan x+c\qquad(D)\;(a+b)\tan^2x+c$

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1 Answer

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Answer:(c)
Explanation:Using trignomentry property
= $\int(\large\frac{a \sin x}{\cos^2x}+\large\frac{b}{\cos^2x})\;$$dx$
= $\int(a \; secx\; tanx+6sec^2x)\;$$dx$
= $\int\;a \; secx\;tanx\;dx\;+\;\int6sec^2x\;$$dx$
= $a\; secx\;+\;6\;tanx\;+c.$
answered Jan 28, 2014 by priyakarthick05_1
edited Mar 20, 2014 by balaji.thirumalai
 
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