Question

Question 13: ∫ x³ - x² + x -1/ x-1 dx

Class 12 - Math - Integrals

Answer 1

I = ∫x³-x²+x-1/x-1 dx
I = ∫x³ dx - ∫x² dx + ∫1.dx
= x⁴/4 - x³/3 + x + C

Answer 2

heya..!

we can easily integrate it by the use of following two rules :-

(1) integration of 
{a}^{n} = \frac{ {a}^{n + 1} }{n + 1}an=n+1an+1​ 

(2) integration of a + b + c =
integration of a + integration of b.........

Thanks