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Solve the given problems.It is estimated that a newly discovered oil field will produce oil at the rate of $\frac{d R}{d t}=\frac{\left(400 t^{2}\right)^{2}}{t^{3}+20}+10$ thousand barrels per year. How much oil can be expected from the field in the next ten years?

Calculus 1 / AB

Chapter 25

Integration

Section 4

The Definite Integral

Integrals

Missouri State University

Baylor University

Idaho State University

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so we have the definite integral. Okay Toms what the negative 1/2. See why divided by a Times Radical two. The so now we have to evaluate the integral where we could use the power form of for integration. So you the integral of U. And see you. That's equal to you. Times M-plus one Divided by M-plus one plus C. Where an it's not equal to negative one to the constancy of integration. When N. is equal to negative one hand, they use equal to Y. So D. You this equal to DY so we have to limit to a Divided by eight times radical G. Times one Homs Wadi to the one hand. So that's equal to two a Divided by eight times radical G. Medical to G. So that's radical to a developed by A Times Radical G. So eight to the one half minus 8 to the 1/2.

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