The definite integral?

Question

I have to find the definite integral showing every step

∫ (1+2x^3) [0,5]

I am able to get to this step

(1+ei^3/n)(5/n)

(5/n) +635i^3/n^4

but am stuck don't know what to do next please help

Answer 1

I'm not sure how you got to where you are now, but it is definitely wrong.

= ∫ (1+2x^3) [0,5]

= ∫ (1) + ∫ (2x^3)

= (x) + (.5x^4)

= g(x)

= g(5) - g(0)

= .5*5^4 + 5 - (0)

= 635 / 2 = 317.5

Answer 2

∫ (1+2x^3) = x + 2(x^4)/4 = x + x^4/2  [0,5] = 5 + 5^4/2