Concept explainers
Finding an Indefinite
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Calculus of a Single Variable
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- 5 { (x+2) sqrt 25-x^2 -5 by writing it as a sum of two integrals and interpreting one of those integrals in terms of an area.arrow_forwardIndefinite integrals Compute the indefinite integral of the following function. r(t) = ⟨2 cos t, 2 sin 3t, 4 cos 8t⟩arrow_forwardevaluate the integral the integral of e^-square root of r divided by the square root of r dr show all workarrow_forward
- a. Approximate the value of the integral by using rectangles. For your approximation use right endpoints and let n = 4 b. Evaluate the integral by interpreting it in terms of areas. Draw a picture c. Evaluate the integral using the Fundamental Theorem of Calculus Part 2 FTC2)arrow_forwardTable look-up integrals Use a table of integrals to evaluate the following indefinite integrals. Some of the integrals require preliminary work, such as completing the square or changing variables, before they can be found in a table. ∫x2 e5x dxarrow_forwardGeneral construction of Riemann integral of function f in ℝ³arrow_forward
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