evaluate the integral

Question

x^3*sqrtx

Answer 1

x^3 sqrtx dx

=x^3*x^1/2 dx                                         a^m*a^n = a^m+n

=x^7/2 dx

= x^(7/2+1) / (7/2+1) +c                                       Recall the formula

= x^9/2/9/2 +c                                             x^n dx = x^n+1/n+1+c

=2/9 x^9/2+c