Find the Integrals of the Functions `1/(Sin Xcos^3 X)` - Mathematics

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Find the integrals of the functions `1/(sin xcos^3 x)`

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Solution

1sinxcos3x=sin2x+cos2xsinxcos3x=sinxcos3x+1sinxcosx

⇒1sinxcos3x=tanxsec2x+1cos2xsinxcosxcos2x

=tanxsec2x+sec2xtanx

Concept: Integration Using Trigonometric Identities

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Q 19 Q 18 Q 20

Chapter 7: Integrals - Exercise 7.3 [Page 307]

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NCERT Class 12 Maths

Chapter 7 Integrals
Exercise 7.3 | Q 19 | Page 307

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Find the Integrals of the Functions `1/(Sin Xcos^3 X)` - Mathematics

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