Question

$\int\limits^3_1(x²+x)dx ,Obtain the given integrals as the limit of a sum.$

Answer 1

HELLO DEAR,

GIVEN:-
$\bold{\int\limits^3_1(x^2 + x).dx}$

$\bold{\int\limits^3_1(x^2/,dx + x\,dx)}$

$\bold{[x^3/3 + x^2/2]^3_1}$

$\bold{[(3)^3/3 + (3)^2/2 - (1)^3/3 - (1)^2/2]}$

$\bold{[9 + 9/2 - 1/3 - 1/2]}$

$\bold{27/2 - 5/6}$

$\bold{(162 - 10)/12}$

$\bold{152/12}$

$\bold{38/3}$

I HOPE ITS HELP YOU DEAR,
THANKS