# how can I calc the area of this triangle when I'm given this double integral? Tried Green's theorem

Basically we were given this integral:-

$$\int (x^3dx-y\,dy)$$

and the points of the triangle are
$$(0,0) (1,1) (1,2)$$

I tried using Green theorem but it will just give me $$0$$, so that can't be right. Can anyone just tell me what I am supposed to do? Like few tips, please thanks and sorry

• the intergral is ∫x^3dx-ydy – tehcoder Aug 13 at 12:27
• This isn't a double integral. – Ak19 Aug 13 at 12:31
• @user658409 wait,is the answer 0? – tehcoder Aug 13 at 12:36
• @tehcoder It's not clear, do you want to evaluate the given integral or find the area of the triangle? – Ak19 Aug 13 at 12:37
• What does that video have to do with area? Its title is "Determine a Piecewise Smooth Parameterization for a Curve (Triangle)." – David K Aug 13 at 13:13