1.

The value of `I=overset(0)underset(-2)int{x^(3)+3x^(2)+3x+3+(x+1)cos(x+1)cos(x+1)}dx`, is

Answer» Correct Answer - C
`l =int_(-2)^(0)[x^(3)+3x^(2)+3x+3+(x+1)cos(x+1)]dx`
`=int_(-2)^(0)[(x+1)^(3)+2+(x+1)cos(x+1)]dx`
Put `x+1=trArrdx=dt`
`therefore l =int_(-1)^(1)t^(3)dt+2int_(-1)^(1)dt+int_(-1)^(1)tcos t dt`
`=0+2[1-(-1)]+0`
`rArr l =4`
`[{:(becauset^(3) "and t cos t are odd functions".,),(therefore int_(-1)^(1)t^(3)dt=int_(1)^(1)t cos t dt =0,):}]`


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