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Indefinite Integrals

2 questions · Mathematics · JEE Advanced

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JEE Advanced
Mathematics
Indefinite Integrals

Indefinite Integrals

2 questions · Mathematics · JEE Advanced

The integral $\int \frac{s e c ^{2} x}{( s e c x + t a n x ) ^{9/2}} d x$ equals (for some arbitrary constant $K$ )2012 · Shift 1 · Q32 · MCQ
Let $I = \int \frac{e ^{x}}{e ^{4 x} + e ^{2 x} + 1} d x, J = \int \frac{e ^{- x}}{e ^{- 4 x} + e ^{- 2 x} + 1} d x .$ Then for an arbitrary constant $C$ , the value of $J - I$ equals :2008 · Shift 2 · Q33 · MCQ