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Indefinite Integrals question

2012 · Shift 1 · Q32

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PYQ Library
JEE Advanced
Mathematics
Indefinite Integrals
2012 · Shift 1 · Q32

Indefinite Integrals question

2012 · Shift 1 · Q32

JEE AdvancedMathematicsIndefinite IntegralsMCQ+4 / −1

The integral

\int \frac{\sec ^2 x}{(\sec x+\tan x)^{9 / 2}} d x

equals (for some arbitrary constant

K

)

A
$-\frac{1}{(\sec x+\tan x)^{11 / 2}}\left\{\frac{1}{11}-\frac{1}{7}(\sec x+\tan x)^2\right\}+K$
B
$\frac{1}{(\sec x+\tan x)^{11 / 2}}\left\{\frac{1}{11}-\frac{1}{7}(\sec x+\tan x)^2\right\}+K$
C
$-\frac{1}{(\sec x+\tan x)^{11 / 2}}\left\{\frac{1}{11}+\frac{1}{7}(\sec x+\tan x)^2\right\}+K$
D
$\frac{1}{(\sec x+\tan x)^{11 / 2}}\left\{\frac{1}{11}+\frac{1}{7}(\sec x+\tan x)^2\right\}+K$

More from Indefinite Integrals

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