Evaluate the Integral

∫1, 0 x^3(1+x^4)^6dx where 1=b 0=a for the limits

use substitution

u=1+x^4
du = 4x^3dx
du/4 = x^3dx
so
∫x^3(1+x^4)^6dx
=(1/4)∫du/u^6
Use the power rule to integrate and evaluate between limits.