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int(-3)^3 x^8{x^11}dx=...

`int_(-3)^3 x^8{x^11}dx`=

A

`3^(8`

B

`3^(7)`

C

`3^(9)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
`I=int_(-3)^(3)x^(8){x^(11)}dx`
Replacing `x` by `-x` we have `I=int_(-3)^(3)x^(8){-x^(11)}dx`
Adding 1 and 2 we get
`2I=int_(-3)^(3)x^(8)({x^(11)}+{-x^(11)})xdx=2int_(0)^(3)x^(8)dx`
`=2((x^(9))/9)_(0)^(3)=2.3^(7)`
or `I=3^(7)` [As `{x}+{-x}=1` for `x` is not an integer ]
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