Write the coefficient a, b, c of which the value of the integral ∫ (ax^2 - bx + c) is independent.

Question

Write the coefficient a, b, c of which the value of the integral\(\int\limits_{-3}^{3} \)(ax² - bx + c) is independent.

Answer 1

Doing integration yields-

By substituting upper and lower limit in above equation

= 18a + bc

so now we can say this is independent of variable b.