मराठी

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

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प्रश्न

Write a value of

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

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      \[\left( \because t = e^x \sec x \right)\]
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पाठ 18: Indefinite Integrals - Very Short Answers [पृष्ठ १९७]

APPEARS IN

आर.डी. शर्मा Mathematics Volume 1 and 2 [English] Class 12
पाठ 18 Indefinite Integrals
Very Short Answers | Q 8 | पृष्ठ १९७

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