Sentence examples for integrate it over from inspiring English sources

To estimate ϕ λ, we multiply both sides of (4.15) by ϕ λ ′ and integrate it over [ 0, t ] and use integration by parts to have (4.17).

Multiply the second equation of (1.4) by and integrate it over to obtain (4.15).

We multiply both sides of the weak form of Eq. (4.58) by z and integrate it over ([0,T]).

This inequality holds for all, and we can integrate it over and apply Fubini's theorem to obtain (3.7).

In order to derive (3.5) in the case − 1 < λ < 0, let us multiply (3.6) by α 2 λ y λ and integrate it over ( 0, 1 ).

Multiply (8) by an arbitrary smooth scalar valued function ν and integrate it over the ROI; then: int_{A}left nabla cdot mathbf{D} - rhoright)numathrm{d}ymathrm{d}x = 0.

Integrating it over, we obtain.

Integrating it over, we obtain (4.50).

Multiplying (2.7) by and integrating it over, we get (2.10).

Multiplying the second equation of (1.4) by and integrating it over, we obtain (4.11).

Multiplying the both sides of (3.3) with and integrating it over, we get (3.9).