Derive an expression using the given data

Reference no: EM1317945

Derive an expression using the given data.

The integration - by- parts formula

558_Derive an expression using the given data.png

Is known to be valid for functions u(x) and v(x), which are continuous and have continuous first derivatives. However, we will assume that u, v, du/dx, and dv/dx are continuous only for a ≤ x ≤ c and c≤ x ≤ b; we assume that all quantities may have a jump discontinuity at x = c.

Show that this reduces to the integration-by-parts formula if u and v are continuous across x = c. It is not necessary for du/dx and dv/dx to be continuous at x = c.

Reference no: EM1317945

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