_ -a ⁴ (x⁸-x⁴+x²+1 ) d x=2 ₀⁴ (x⁸-x⁴+x²+1 ) d x then a=

Step-by-step solution

If f (x) is an even function then _ -a ^ a f(x) d x=2 ₀^ a f(x) d x Here f (x)=x⁸-x⁴+x²+1 is an even function, therefore a=4 .