Karnataka Board PUCPUC Science 2nd PUC Class 12

Write a Value of ∫ E X Sec X ( 1 + Tan X ) D X - Mathematics

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Sum

Write a value of

\[\int e^x \sec x \left( 1 + \tan x \right) \text{ dx }\]
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Solution

Let I= \[\int\]  ex sec x(1 + tan xdx

       =\[\int\] ex (sec x + sec x tan xdx
Let ex sec = t
⇒ (ex sec x + ex sec x tan x)dx = dt
⇒​ ex sec x (1 + tan xdx = dt
\[\therefore I =\]\[\int\]dt
     = t C
     = ex sec x + C      \[\left( \because t = e^x \sec x \right)\]
  Is there an error in this question or solution?
Chapter 19: Indefinite Integrals - Very Short Answers [Page 197]

APPEARS IN

RD Sharma Class 12 Maths
Chapter 19 Indefinite Integrals
Very Short Answers | Q 8 | Page 197

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