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int sec^(8//9)x cosec^(10//9)x dx is eq...

`int sec^(8//9)x cosec^(10//9)x ` dx is equal to

A

`-(cot x)^(1//9)+c`

B

`9(tan x)^(1//9)+c`

C

`-9(cot x)^(1//9)+c`

D

`-(1)/(9)(cot x)^(9)+c`

Text Solution

Verified by Experts

The correct Answer is:
C
Let `I=intsec^(8//9)x" cosec"^(10//9)x" dx"`
`=int(tanx)^(8//9)"cosec"^(2)x" dx"`
`=int(cotx)^(-8//9)"cosec"^(2)x" dx"`
`=-9(cotx)^(1//9)+c`
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-PRACTICE SET 19-Paper 2 (Mathematics)
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  9. Area bounded by the curve y=sin^(2)x and lines x=(pi)/(2),x=pi and X-a...

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  10. If p and q are two statements, then (p rArr q) iff (~q rArr ~ p) is

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  18. Suppose the cubic x^(3)-px+q has three distinct real roots, where pgt0...

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