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Therefore the triple integral is 4π (abc)^1/2 but since only the upper half is asked we get 2π (abc)^1/2. We must notice that the ellipsoid as it is given is NOT in the usual form …

Hint l: define a new constant $sigma = sqrt {2kt}$ and split the double integral into the product of two single integrals. With any luck, you might even be able to recognize the …

Reverse the order of integration and evaluate the integral: $$int_0^1 int_x^sqrt {x} {e^ {xover y}}mathrm dy,mathrm dx$$ The answer is supposed to be $frac {e} {2}-1$ but …

Learn how to use the method of partial fractions to evaluate definite integrals that may be effectively evaluated by using this method, and see step-by-step examples to help improve …

Learn how to evaluate a definite integral using geometry and the connection between the definite integral and area, and see examples that walk through sample problems step-by-step for you …

Get an overview of the fundamentals of indefinite integral with this 5-minute video! Master key rules and explore examples, followed by a quiz for practice.