Sentence examples for integrating by from inspiring English sources

The inside integral can be eliminated by integrating by parts on variable x.The integral is then evaluated by combining the terms in the exponentials and completing the squares.

The method of approximating the integrals in (3.3) begins by integrating by parts to transfer all derivatives from y to S k.

end{aligned}We approximate the integrals in Eq. (9) by integrating by parts such that all derivatives transfer from u to (L_{r}).

However, integrating by parts N times the integral in (2.3) by two different ways, we can show that α = − 1, − 2, … and p = 0, 1, 2, … are removable singularities (see [21]).

and, integrating by parts in the Riemann-Stieltjes integral, we have (2.28).

Integrating by parts in the Riemann-Stieltjes integral and utilizing the spectral representation (1.1), we have (2.4).

Integrating by parts, (2.16).

Integrating by parts gives.

By integrating by parts, (3.7).

Integrating by parts, we have (4.6).

By integrating by parts, we have (3.13).