points and asymptotes as c changes? Graph several members of the family to illustrate what you discover. 5) Evaluate the following integral. Illustrate, and check that your answer is reasonable, by graphing both the function and its antiderivative, let C= 0. i) xIn x ii) Jx co dx ii) dx dx COS TX

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Q: 8. Using any work found in Question 7, determine the value of the following definite integrals. 3x…

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A: Given :    ∫0π22cosx-3xdx and ∫0π2cosxdx = 1 and ∫abxdx = b2 - a22

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Q: 1. The study of integrals in calculus is motivated by the problem of calculating A. the slope of a…

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A: Given: I=∫2∞cosπxx2dx for evaluating given integral, we substitute πx=t…

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Q: the indicated integrals Evaluate if k is positive real number Constant a A. 3. よt 2. 31 t cos sin/t…

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Q: Approximation the integral dx using sinpson's rule with n :4 subintervals.

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Q: 1 dx from the reading at 5. Consider the integral f the beginning of the section. (a) Use the…

A: The given integral is: ∫1x21-x2dx Answer (a): Given that, u=sin-1x ...(1) Differentiate both sides.…

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Q: (x Using a suitable trigonometric substitution, the resulting integral in terms of V9x²+4 Consider e…

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Q: 2. Let a > 0. Find formulas for the following indefinite integrals (these are not all inverse-trig…

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Q: aluate the indefinite integral. se symbolic notation and fractions where needed. Use C for the…

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Q: 4. Evaluate the integral I = sin? x dx Include 4 decimal places on your computation. a. single…

A: Trapezoidal rule  ∫ab f(x)dx=  Δx 2​ f(x0)+2f(x1)+2f(x2)+2f(x3 )+⋯+2f(xn-1 )+f(xn) Where ∆x=b-an…

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A: This problem can be solved as follows:

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Q: Using the Fundamental Theorem of Calculus, evaluate the following definite integrals, both eractly…

A: Given, (a) ∫12x3+3xdx  (b) ∫π4π22sint+costdt

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A: Given that, There are to integral folowing, I1=∫02x24-x2 dx I2=∫0π/4tan2t dt We have to find the…

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Q: 7. Evaluate the integral. 7/2 sin°(0) cos (0) de 8. Evaluate the integral. (Use C for the constant…

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Q: The appropriate trigonometric substitution that solves the integral S V5 + 4x – x2 dx - A) x = 2 + 3…

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