How do you evaluate the definite integral int x+7x^2 dx from [3,4]?

1 Answer
Aug 9, 2016

int _3^4 (x+7x^2)d x=89.8bar 3

Explanation:

int _3^4 (x+7x^2)d x=?

int _3^4 (x+7x^2)d x=|1/2 x^2+7/3 x^3|_3^4

int _3^4 (x+7x^2)d x=[1/2*4^2+7/3*4^3]-[1/2*3^2+7/3*3^3]

int _3^4 (x+7x^2)d x=[16/2+448/3]-[9/2+189/3]

int _3^4 (x+7x^2)d x=16/2-9/2+448/3-189/3

int _3^4 (x+7x^2)d x=7/2+259/3

int _3^4 (x+7x^2)d x=(21+518)/6

int _3^4 (x+7x^2)d x=539/6

int _3^4 (x+7x^2)d x=89.8bar 3