Question

integration of [2x² + e^x].dx

Answer 1

integration (2x^2 +e^x)dx

integration 2x^2 dx + integration e^x dx

2.x^3/3 +e^x +C

Answer 2

HELLO DEAR,

the anti derivatives of [2x² + e^x] is a function of x whose derivative is [2x² + e^x].

NOW,
$\bold{\int{(2x^2 + e^x)}\,dx}$

$\bold{\Rightarrow \int{2x^2}\,dx + \int{e^x}\,dx}$

$\bold{\Rightarrow (2x^3/3 + e^x) + C}$
where, C is the arbitrary constant

hence, the Anti deravative of [2x² + e^x] is [2/3x³ + e^x] + C.

I HOPE ITS HELP YOU DEAR,
THANKS