`2b- a sin (b- a)`
`a+ 3bcos (b- a)`
`sin a- (b- a) cos b`
`0`
`0`
`2`
`-2`
`pi`
`0`
`1/2`
`1`
None of these
`-3`
`2`
`3`
`5`
`pi/4`
`pi/2`
`(3pi)/4`
`pi`
`-19/6`
`19/6`
`3/2`
`-3/2`
`- pi`
`0`
`pi`
`2 pi`
`1`
`-1`
`0`
`e`
`pi`
`pi/3`
`pi/sqrt3`
`(2pi)/sqrt3`
Assertion : (A) `int_0^(pi) sin^7 xdx = 2int_0^(pi/2) sin^7 xdx`
Reason : (R) `sin^7 x` is odd function
`(log x)^2`
`1/2 (log x)^2`
`(log x^2)/2`
None of these
`47//3`
`50//3`
`1//3`
`47//2`
` pi/8 log_e 2`
` pi/4 log_e 2`
` - pi/8 log_e 2`
`- pi/4 log_e 2`
`sqrt(2) (log sqrt(2))`
`sqrt(2) ( sqrt(2) + 1)`
`log ( sqrt(2) + 1)`
None of the above
`pi/2`
`pi`
`-pi/2`
None of the above
`I_1 = I_2`
`3I_1 = I_2`
`I_1 = 3I_2`
`I_1 = 5I_2`
` e^(pi/4) - 1`
` e^(pi/4) + 1`
` e - 1`
`e`
`2 ab`
`2pi ab`
` pi/(2 ab)`
`pi/(ab)`
`3/2`
`5/2`
`3`
`4`
`0`
`2`
`4`
`8`
Allows bacterium to hide from host immune system
Allows bacterium to attach to surfaces
Protects it from desiccation
Provides means of locomotion
`0`
` 2/3`
`2`
` -2`
`| b|- |a|`
`| a|- |b|`
`(| b|) /(|a|)`
`0`
`1/6`
`1/3`
`5/18`
`5/36`
`37/72`
`2/3`
`17/72`
`37/144`
`0`
`1`
`2`
`4`
`0`
`pi/4`
`pi/2`
`1`
`0`
`32`
`30`
`28`
`(35 pi)/256`
`70/256`
`16/35`
`(8pi)/35`