The value of A00 is, 1 1 :// xydxdy A00 0 0 4 The value of Amo is, 1 1 Amo = 2 ху cos mлxdxdy 0 0 1 cOS mл — 1 -ydy m² n? = 2 (-1)" –1 %D m² n2

Q: •3 x² +1 dx

A: The given integral is- I=∫13x2-23x+1dx Evaluating the integral- I=x33-23x22+x13=x33-x23+x13

Q: A thick cable, 60 ft long and weighing 180 lb, hangs from a winch on a crane. Set-up the integral…

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Q: Please explain the rules applied in each step of the solution

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Q: "/ Evaluate the integral dx x²9x² using trigonometric substitution.

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Q: for P=Ce^t-CPe^t how do I solve for P

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Q: How to use linear approximation to esitmate the square root of 100.5 and cos 29?   (I understand…

A: Let's find.

Q: + 3.x? – 5 b) x² -x+ 2

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Q: 7. Use the midpoint rule with four subdivisions to approximate the integral sin(r)dr. You do not…

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Q: integrate

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Q: 3 +9 -dx

A: ∫x34+9x14 dx Now put, x34+9=tDifferentiating with respect to x, we get⇒34x34-1+0=dtdx…

Q: Please choose one from the above and integrate it

A: Given:

Q: can you explain why after integrating its lnC instead of C? I think it should be C right?

A: For simplify calculations, we are using ln C instead of C. It makes no difference as ln C is also a…

Q: how do you do the integral of sin^2x multiplied by cos^4x. The answer here was unclear

A: Given integral is By using the results, we get

Q: integrate dx / x^3-x^2  (I do not understand how to set up and complete the A+B+C part

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Q: (4 - x*)3/2 dx

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Q: V = π(0.075m)^2(0.0015m) ≈ 2.66 × 10^-4 m^3 =

A: Given: The given expression is, V=π0.075m^20.0015m≈2.66×10^-4 m^3. To find: We have to write the…

Q: 6x V100–x* -dx 3D 4

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Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus. 

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.