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The integral int(sec^2x)/((secx+tanx)^(9...

The integral `int(sec^2x)/((secx+tanx)^(9/2))dx` equals (for some arbitrary constant `K)dot`

A

`(-1)/((sec x + tan x)^(11//2)){(1)/(11)-1/7 (sec x + tan x)^(2)}+K`

B

`(1)/((sec x + tan x)^(11//2)){(1)/(11)-1/7 (sec x + tan x)^(2)}+K`

C

`(-1)/((sec x + tan x)^(11//2)){(1)/(11)+1/7 (sec x + tan x)^(2)}+K`

D

`(1)/((sec x + tan x)^(11//2)){(1)/(11)+1/7 (sec x + tan x)^(2)}+K`

Text Solution

Verified by Experts

The correct Answer is:
C
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Knowledge Check

  • inte^(x)secx(1+tanx)dx equals

    A
    `e^(x)cosx+C`
    B
    `e^(x)secx+C`
    C
    `e^(x)sinx+C`
    D
    `e^(x)tanx+C`

  • inte^(x)secx(1+tanx)dx equals

    A
    `e^(x)cosx+C`
    B
    `e^(x)secx+C`
    C
    `e^(x)sinx+C`
    D
    `e^(x)tanx+C`

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