Question

Integrals

Answer 1

I got the answer by guess and check to be B but I want to know how to do it

Answer 2

@ganeshie8 , @Hero , know how to tackle this?

Answer 3

\[
\begin{array}
~\displaystyle\int_2^x f(t)dt&=\int_2^x2t+4~dt \\~\\&= \left. t^2+4t~\right|_{2}^x\\~\\&= \left[ x^2+4x\right]-\left[2^2+4(2)\right]\\~\\&=x^2+4x-[4+8]\\~\\&=\boxed{x^2+4x-12}
\end{array}
\]

Answer 4

Does that make sense? @doulikepiecauseidont

Answer 5

*Brain fart*, yeah that makes sense lol

Answer 6

Wonderful!