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The value of int(-3)^(3)(ax^()+bx^(3)+cx...

The value of `int_(-3)^(3)(ax^()+bx^(3)+cx+k)dx`, where a,b,c,k are constants, depends only on. . . .

A

a, b and c

B

k

C

a and b

D

and k

Text Solution

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The correct Answer is:
B
Let f(x)`=ax^(5)+bx^(3)+cx`
`rArrf(-x)=-ax^(5)-bx^(3)-cx=-f(x)`
`rArr`f(x) is an odd function .
`therefore_(-3)^(3)(ax^(5)+bx^(3)+cx)dx=0`
`thereforeint_(-3)^(3)(ax^(5)+bx^(3)+cx+k)dx` is depends only k.
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