√√9-y² 9 = L Q (2x2) dz dy dx Зг 2. Give the (upper, lower, lateral) boundaries of the solid S of integration of the integral Q in No. 1. Set up the integral of the volume of S. Do not evaluate.

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A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

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Q: 2- Evaluate the integrals in Exercises 7- 8- 9- In 9 Son 24/2 In 4 S dr [ 21 e ² dt ex/2 dx

A: To evaluate the given integrals.

Q: (a) IM8 k 서

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A: I am attaching image so that you understand each and every step.

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A: We can answer all the three questions as below.

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A: Solution is here

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A: According to Leibniz integral rule : ddx∫a(x)b(x) f(x)dx=fbxddxbx-faxddxax

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A: Topic:- application of derivatives Notes:- as per our guideline if more than one question uploaded…

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A: Given problem:-

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A: We have to solve the dy/dx using fundamental theorem of calculus.

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A: We need to use Simpson's one third rule.

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A: We will find the average value of function as shown below

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A: Here is the solution

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A: I am attaching image so that you understand each and every step.

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Q: √₁ 5. X x² 2 ²+x-6dx

A: Given:        ∫x2x2+x-6dx For the integrand x2x2+x-6, take partial fraction      =∫-95x+3+45x-2+1dx…

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