Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §7.1 Integration by Parts, #47 · Calculus · Techniques of integration

The integral of … is the unit step

44–54 are about optional topics at the end of the section.

The integral of $δ (x)$ is the unit step $U (x)$ . Graph the next integrals $R (x) = \int U (x) d x$ and $Q (x) = \int R (x) d x$ . The ramp and quadratic spline $Q$ are zero at $x = 0$ .

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §7.1 Integration by Parts, #47

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