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The Definite Integral Homework Help Resources (Page 5)


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I need help with number 003. [ File > http://lhh.tutor.com/SharedSessionFiles/8c691767-ea89-4f09-8f80-6d52d7d1c039_antiderivatives-problems.pdf ]
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Definitive integral of 4/(1+4t^2) dt. how?
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Use substitution to evaluate the integral.
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Find the area of the region that lies inside the first curve and outside the second curve.
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Find the indefinite integral.
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I am stuck on two problems. For problem (a) we are asked to evaluate the definite integral of the algebraic function. For problem (b) we are asked to determine the area of the given region. For problem (a) I keep receiving the answer -3 when in my book it states the answer is (2/3). For problem (b) I keep receiving the answer 3(3)^3/2 when in my book it states the answer is (12(3)^(1/2))/5. Thanks for the help! :)
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use the integral evaluation theorem to solve
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Rainwater pours off a roof into a cylindrical barrel. When it stops raining, water leaks out of the barrel at a rate proportional to the square root of the depth of the water at that time. If the water level drops from 36 inches to 35 inches in 1 hr, how long will it take for all of the water to leak out of the barrel?
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In this video, Salman Khan of Khan Academy explains definite integrals. Part 5 of 5.
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