Answer:
3[tex]x^{4}[/tex] + 5x - 2[tex]x^{-3}[/tex] + c
Step-by-step explanation:
Using the power rule on each term
∫ a[tex]x^{n}[/tex] dx = [tex]\frac{a}{n+1}[/tex] [tex]x^{n+1}[/tex] ( n ≠ - 1 )
Given
∫ (12x³ + 5 + 6[tex]x^{-4}[/tex] ) dx
= [tex]\frac{12}{4}[/tex] [tex]x^{4}[/tex] + [tex]\frac{5}{1}[/tex] x + [tex]\frac{6}{-3}[/tex] [tex]x^{-3}[/tex] + c ( c is the constant of integration )
= 3[tex]x^{4}[/tex] + 5x - 2[tex]x^{-3}[/tex] + c
