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Solve the given problems.Why can the integral $\int_{a}^{2}\left(2+x-x^{2}\right) d x$ be used to find the area bounded by $x=a, y=0,$ and $y=2+x-x^{2}$ if $a=-1,$ but not if $a=-2 ?$
Calculus 2 / BC
Chapter 26
Applications of Integration
Section 2
Areas by Integration
Missouri State University
Harvey Mudd College
University of Nottingham
Boston College
Lectures
01:11
In mathematics, integratio…
06:55
In grammar, determiners ar…
01:46
Analyzing the Integrand Wi…
08:51
Evaluate the following int…
02:14
Area Find the area of the …
01:18
Area Between Curves The gr…
03:25
Evaluating integrals Evalu…
02:19
Sketch the region of integ…
01:57
07:14
03:56
Evaluate the integral$…
01:50
Evaluate the iterated inte…
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In mathematics, integration is one of the two main operations in calculus, w…
In grammar, determiners are a class of words that are used in front of nouns…
Analyzing the Integrand Without integrating, explain why$$\int_{-2}^{2} …
Evaluate the following integrals.$\iint_{R} y^{2} d A ; R$ is bounded by…
Area Find the area of the region bounded by the curves $y=\frac{x}{x^{2}-2 x…
Area Between Curves The graphs of $y = 1 - x ^ { 2 }$ and $y = x ^ { 4 } - 2…
Evaluating integrals Evaluate the following integrals. A sketch is helpful.<…
Sketch the region of integration and evaluate the following integrals as the…
Evaluating integrals Evaluate the following integrals as they are written.
Evaluating integrals Evaluate the following integrals.$$\int_{0}^{2} \in…
Evaluate the integral$$\int_{0}^{\infty} \int_{0}^{\infty} \frac{1}{\lef…
Evaluate the iterated integrals.$$\int_{-2}^{0} \int_{-1}^{2}\left(x…
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