Question

I just want to see if some can check my work to make sure I'm completing these problems right. The problem states evaluate the definite integral of each function.

Answer 1

\[\int\limits_{1}^{7}(6x^2+2x-3)dx\]
\[\int\limits_{1}^{7}6x^2dx +\int\limits_{1}^{7}2xdx -\int\limits_{1}^{7}3dx\]
\[6\int\limits_{1}^{7}x^2dx=2x^3+ 2\int\limits_{1}^{7}xdx -\int\limits_{1}^{7}3dx\]
\[=2x^3+x^2-3x+c\]
\[=x(2x^2+x-3)+c\]
\[=7(2(7)^2+7-3)=714\]

Answer 2

the answer is correct but you have things that dont make sense

\(6\int\limits_{1}^{7}x^2dx=2x^3+ 2\int\limits_{1}^{7}xdx -\int\limits_{1}^{7}3dx\)

Answer 3

is one example^^^