Question

Given that int_{1}^{3} f(x) dx = -20 and int_{1}^{3} [f(x) + kx^2] dx = 6

find the value of k

Answer 1

\[\int\limits(n + m)dx = \int\limits n dx + \int\limits mdx \]

Answer 2

so here
\[\int\limits_{1}^{3} [f(x) + kx^2] dx = \int\limits_{1}^{3} f(x)dx + \int\limits_{1}^{3} kx^2 dx\]

Answer 3

do you know how to calculate
\[\int\limits_{1}^{3} kx^2 dx \]
?

Answer 4

maybe yes

Answer 5

so try to solve it and let me see what you get

Answer 6

ok, i will try.

Answer 7

is it correct so far?