Evaluate the following integral.

[Lost]

Evaluate the following integral.

Can someone explain this to me step by step, so I know how to do problems of similar nature?

 

[pka]

Evaluate the following integral.

Can someone explain this to me step by step, so I know how to do problems of similar nature?

Can you tell us what function \(\displaystyle F(x)\) is such that \(\displaystyle F'(x)=x^2-7x~?\)

 

[Lost]

Can you tell us what function \(\displaystyle F(x)\) is such that \(\displaystyle F'(x)=x^2-7x~?\)

I am not sure what you mean.

F(x) = x(x-7)


I believe I need to first find the anti derivative of x(x-7) first. However, I am unsure of how to go about this step.

Afterwards, it's F(2) - F(0).

 

[pka]

I am not sure what you mean.
F(x) = x(x-7)
I believe I need to first find the anti derivative of x(x-7) first. However, I am unsure of how to go about this step.
Afterwards, it's F(2) - F(0).

You did not read my reply correctly.


It asks for \(\displaystyle F\) not such that \(\displaystyle F'(x)=x^2-7x\).

What function has derivative \(\displaystyle x^2-7x\). Once you answer that then you find \(\displaystyle F(2)-F(0)\)