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With calculus it became possible to get exact answers for these problems with almost no effort, because in the limit these sums became definite integrals Problems 5.1 Solutions. 1. Calculate the definite integral: ∫. 4. −4. (x2 − 3 + cosx)dx. Solution. Since this is an even function and the domain is In this lesson, we will define and interpret definite integrals geometrically, evaluate definite integrals using properties and apply definite integrals to In problems 1 through 7, find the indicated integral. 1. /. √xdx. Solution. In problems 1 through 17, evaluate the given definite integral. 1. /.is called the definite integral of over ],[ ba and written by or. Definite integral Examples 13-2 Find the following definite integrals.