Let
with f ( x ) = 2 x 3 − x + 3 {\displaystyle {}f(x)=2x^{3}-x+3} and g ( x ) = − 5 x 2 + 4 x − 7 {\displaystyle {}g(x)=-5x^{2}+4x-7} . Compute ⟨ f , g ⟩ {\displaystyle {}\left\langle f,g\right\rangle } in the sense of example.
![{\displaystyle f,g\colon [0,1]\longrightarrow \mathbb {R} }](https://wikimedia.org/api/rest_v1/media/math/render/svg/3f28d086e1d8d3aadcfa9dd3ce5c687a328537d7)
