The value of _ -2 ² (a x³+b x+c ) d x depends on the

Step-by-step solution

Let I= _ -2 ² (a x³+b x+c ) d x aligned I= _ -2 ² [ (a(-2+2-x)³+b(-2+2-x)+c ) ] d x & [ _ a ^ b f(x) d x= _ a ^ b f(a+b-x) d x ] aligned = _ -2 ² (-a x³-b x+c ) d x On adding Eqs. (i) and (ii), we get aligned &2 I= _ -2 ² 2 c d x &I=c(x)_ -2 ²=4 c aligned So, I depends on value of c