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The value of int-3^3(a x^5+b x^3+c x+k)d...

The value of `int_-3^3(a x^5+b x^3+c x+k)dx` , where a, b, c and k are constants, depends only on

A

a and k

B

a and b

C

a, b and c

D

k

Text Solution

Verified by Experts

The correct Answer is:
D
`int_(-3)^(3) ( ax^(5) + bx^(3) + cx + k ) dx`
`= [ ( ax^(6))/( 6) + (bx^(4))/( 4) + ( cx^(2))/( 2) + kx] _(-3)^(3)`
`= (a.4^(6))/( 6) + ( b. 3^(4))/( 4) + ( c. 3^(2))/( 3) + k ( 3) -( a. 3^(6))/( 6) - (b.3^(4))/( 4) - ( c. 3^(2))/( 3) +k(3)`
= 6k
i.e., Integral depends upon k.
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