Definite Integrals - Problems with Answers

Check us out at http://math.tutorvista.com/calculus/definite-integrals.html Definite Integral A definite integral is an integral with upper and lower limits. If is restricted to lie on the real line, the definite integral is known as a Riemann integral (which is the usual definition encountered in elementary textbooks). However, a general definite integral is taken in the complex plane, resulting in the contour integral with , , and in general being complex numbers and the path of integration from to known as a contour. The first fundamental theorem of calculus allows definite integrals to be computed in terms of indefinite integrals, since if is the indefinite integral for a continuous function , then This result, while taught early in elementary calculus courses, is actually a very deep result connecting the purely algebraic indefinite integral and the purely analytic (or geometric) definite integral. Definite integrals may be evaluated in Mathematica using Integrate[f, x, a, b ] Please like our facebook page http://www.facebook.com/tutorvista Follow us at: https://plus.google.com/+tutorvista/