1) integral : (3x^3-2x^2+5) dx
= integra( 3x^3)dx - integral( 2x^2)dx + integral (5)dx
= 3 interal x^3 dx - 2 integral x^2 dx + 5 integral dx
= 3* x^4 /4 - 2* x^3 /3 + 5x +c
{ integral x^n = x^n+1 /n+1 }
= 3/4 * x^4 -2/3 *x^3 + 5x + c
integral (t^3/2) dx =( t ^ 3/2 + 1)/ (3/2 +1)
= (t ^5/2) / (5 /2)
= 2/ 5 * t ^5/2 +c
2)