Answer:
[tex]\frac{5}{4}[/tex][tex]x^{4}[/tex] + sinx + c
Step-by-step explanation:
using the power rule
∫(a[tex]x^{n}[/tex]) = [tex]\frac{a}{n+1}[/tex][tex]x^{n+1}[/tex] and ∫cosx = sinx
∫(5x³ + 2cosx )dx
= [tex]\frac{5}{4}[/tex][tex]x^{4}[/tex] + 2sinx + c ( c is the constant of integration )
