Match the following. I. int sec^(2)x "...

Match the following.
`I. int sec^(2)x "cosec"^(2)dx " " a) x+c`
II. `int tan^(2)x cot^(2) xdx= " " b) tan x-x+c`
III. `Int sin^(2)x sec^(2) x dx= " " c)-cot x-x+c`
IV. Int cos^(2) x "cosec"^(2) x dx= " " d) tan x-cot x+c`

a,b,c,d

b,c,a,d

d,a,b,c

a,b,c,a

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The correct Answer is:

INDEFINITE INTEGRATION
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INDEFINITE INTEGRATION
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HYPERBOLIC FUNCTIONS
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int sec^(2)"cosec"^(2) x dx=

`tanx+x+c`

`tanx-x+c`

`tanx-cot x+c`

`tanx-cot x-4x+c`

`(1)/(2) tan^(3)x+c`

` tan^(3)x+c`

`(1)/(3) tan^(3)x+c`

none

`-cot x-x+c`

`tanx-x+c`

`cot x-x+c`

`sin x-x+c`