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

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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)` =

विकल्प

  • (5, 3)

  • (3, 5)

  • `(1/5, 1/3)`

  • (4, 4)

MCQ

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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  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 3: Indefinite Integration - Miscellaneous Exercise 3 [पृष्ठ १४८]

APPEARS IN

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

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