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The value of int(-3)^(3)(ax^(5)+bx^(3)+c...

The value of `int_(-3)^(3)(ax^(5)+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

a and k

Text Solution

Verified by Experts

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