Use substitution to find an indefinite integral with he.power rule, QUestion 5 What is / 3x(x² + 2)' dx? Do not include the constant "+C" in your answer. For example, if you found the antiderivative was 2x + C, you would enter 2x. Sorry, that's incorrect. Try again? -3(-x + 5)5 25 Given the graph of the functionf (x) below, use a right Riemann sum with 3 rectangles to 9- approximate the integral f(x) dx. 11 10 9. 8 6. 4 4 6. Select the correct answer below: O 24 O 25 26 26.5 O 27 2.

Q: Find the indefinite integral and check the result by differentiation. Find the antiderivative whose…

A: Use integration formula

Q: Q1- Express of the integral in term of Gamma function and simplify where possible *e-2 dx.

A: Gamma function

Q: The decay rate of a radioactive substance, in millirems per year, is given by the function g(t) with…

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Q: Evaluate the indefinite integral ∫ t - 6/11 dt. Remember, there are no Product, Quotient, or Chain…

A: Evaluate the indefinite integral ∫ t - 6/11 dt. Remember, there are no Product, Quotient, or Chain…

Q: x5 + x4 (5x6 + 6x5)² J dx

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Q: Q1- Express of the integral in term of Gamma function and simplify * x*e-2x dx. where possible

A: Use gamma function

Q: Find the most general antiderivative or indefinite integral. You may need to try a solution and then…

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Q: Find the indefinite integral. Check your result by differentiating. (Use C for the constant of…

A: We use integration by substitution method

Q: 6x + 2x xp + Step 1 Notice that the numerator is the derivative of the denominator. Thus the…

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Q: Give an approximation of the following defined integral with an absolute error below 10-8 3 :/ Use…

A: Given integral is I=∫13x2x3−e−xdx. We have to find the approximate value of the given integral.…

Q: Find the general indefinite integral. (Use C for the constant of integration.) 9. 5x2 + 6 + x2 + 1…

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Q: Calculate: e(4 x-- 48 - x + 128). (8 · x – 48) · dx Explain the method you are using and show all…

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Q: Find the indefinite integral. (Use C for the constant of integration. Remember to use absolute…

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Q: Evaluate the definite integral 35 + x°dx 3 a) Find an anti-derivative + x°dx +C b) Evaluate 35 +…

A: Here we have to evaluate the definite integral I=∫-3435+x8dx

Q: Find the indefinite integrals (most general antiderivatives). You may need to try a solution and…

A: The integral ∫3θθ2+1dθ, we have to solve this integral.

Q: 4. Water leaks out of a tank at the rate of yt +1 gallons per minute, for 0 <t < 120 minutes. At…

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Q: Find the solution for the initial value problem. (Hint: For this one, you will not be able to…

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Q: 6. Estimate f 2*-1 dx using L,. Is the estimate you get an overestimate or underestimate of the 1…

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Q: Evaluate the indefinite integral: x + dx + C.

A: Given ∫6x+7xdx

Q: Find the indefinite integral. (Use C for the constant of integration.) 2 - ex e9x xp Need Help? Read…

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Q: In this situation, finding the indefinite integral is most easily achieved using the method of…

A: If we choose u=x5-8 dudx=5x4⇒x4dx=du5

Q: Find the indefinite integral. (Use C for the constant of integration.) 1. dx Need Help? Watch It…

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) 1 1) dx + 9(x2 + 1)

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Q: Find the indefinite integral using the substitution x = 5 sin 0. (Remember to use absolute values…

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Q: 3 If fS(x)dx = : = 6 and f(x)dx = -8, determine the value of each of the following integrals using…

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Q: 4.3 (b) Represent the increase in the animal population from 2015 to 2020 as a definite integral of…

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Q: The rate at which a substance grows is given by R'(x) = 195 e 0.5X, where x is the time (in days).…

A: This question can be solved by integrating R'(x) with proper limits.

Q: (a) S(-) dx 2+1 (b) [ 3xV3 dx

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Q: 4. Find the indefinite integral. (Remember to use absolute values where appropriate. Use C for the…

A: We have to calculate indefinite integral ∫{(3x2+6) /(x3+6x) }dx Let us say  I = ∫ {(3x2+6) /(x3+6x)}…

Q: Use substitution to find an indefinite integral with ROwer rule. QUEstion | 4 15x*(3x + 2)* dx…

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Q: Use substitution to find an indefinite integral with the power rule Question -4x2 (4x³ – 1)' dæ. Do…

A: Use the substitution method and find du.

Q: Can i get help step by step?

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Q: Find the indefinite integrals (most general antiderivatives). You may need to try a solution and…

A: Given: I=∫x3+5x-7dx we know that  ∫xndx=xn+1n+1+c                                            ..1 so,…

Q: Find the indefinite integrals (most general antiderivatives). You may need to try a solution and…

A: solution:-  Find the indefinite integrals (most general antiderivatives). You may need to try a…

Q: Find the indefinite integral by the substitution method or state that it cannot be found by our…

A: The given integral is

Q: Review of Definite & Indefinite Integrals 5 + 2x + 3 ) dx Find + C

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Q: S-) dx 5.

A: Formula:∫ 1x dx = ln x+ C∫1a2+x2dx = 1atan-1(xa)+ C I=∫1x-5x2+1 dx=∫dxx - 5∫1x2+1dxI= ln x - 5…

Q: (a)  The volume (growth) of the tumor can be found by integrating the function g (t) with respect to…

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Q: Find the indefinite integral by the substitution method or state that it cannot be found by our…

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Q: Find the indefinite integrals (most general antiderivatives). You may need to try a solution and…

A: To evaluate the indefinite integral: ∫2-x35dx Let substitute t=2-x Differentiating on both sides, we…

Q: Evaluate the indefinite integral. dx x(ln (x))6 (Express numbers in exact form. Use symbolic…

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) 1. - eu du (6 - e4)²

A: topic- indefinite integral

Q: Find the indefinite integral. (Use C for the constant of integration.) 1 dz 4 (6 – z). + Need Help?…

A: We know, (i)∫xndx= x(n+1)/(n+1)+C, for any real number n and any constant C.

Q: Use substitution to find an indefinite integral with the power rule Question Find -4x2 (4x³ + 5)°…

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Q: Find the indefinite integral. | sinh(8 – 7x) dx Step 1 First, let u = 8 - 7 x. Now, differentiate u…

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Q: Find the indefinite integral. (Use C for the constant of integration.)   e5x − e2x + 1

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Q: 2) (2 points) if you know that f(x)dx =15 and S(x)dx = 8, find [ 3/(x)de using properties of the…

A: Suppose that a point c belongs to the interval [a,b]. Then the definite integral of a function f(x)…

Q: Find the general indefinite integral. (Use C for the constant of integration.) (x1.6 + 9x3.5) dx…

A: Here we find the indefinite integral∫(x1.6+9x3.5) dx

Q: The rate of growth of a population (in millions per year) in the year x is approximated by (x) = xe…

A: The rate of growth of population is given by  f(x) = xe-x^2 Population in second year = 60000

Q: X/2

A: We have to find ∫3x2 dx.