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महाराष्ट्र राज्य शिक्षण मंडळएचएससी विज्ञान (सामान्य) इयत्ता १२ वी

Choose the correct options from the given alternatives : If then∫tan3x⋅sec3x⋅dx=(1m)secmx-(1n)secnx+c,then(m,n) =

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प्रश्न

Choose the correct options from the given alternatives :

If `int tan^3x*sec^3x*dx = (1/m)sec^mx - (1/n)sec^n x + c, "then" (m, n)` =

पर्याय

  • (5, 3)

  • (3, 5)

  • `(1/5, 1/3)`

  • (4, 4)

MCQ
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उत्तर

(5, 3)
[ Hint : `int tan^3x.sec^3x*dx`

= `int sec^2x*tan^2x*secx tanx*dx`

= `int sec^2x(sec^2x - 1)secx tanx*dx`

Put sec x = t].

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पाठ 3: Indefinite Integration - Miscellaneous Exercise 3 [पृष्ठ १४८]

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बालभारती Mathematics and Statistics 2 (Arts and Science) [English] Standard 12 Maharashtra State Board
पाठ 3 Indefinite Integration
Miscellaneous Exercise 3 | Q 1.08 | पृष्ठ १४८

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