8 Гaс (4x22x6) dx 4. (a) Find the Riemann sum for this integral using left endpoints and L4 (b) Find the Riemann sum for this same integral, using right endpoints and n = 4.

Q: Using the link between the Riemann sum and definite integral we se 70 n dx , lim n- co (n+1)2

A: Given: To explain the given statement as follows, Here, limn→∞ ∑i=1n 70 n(n + i)2

Q: Evaluate the integral. *1/3 3 sec 0 tan 0 de IT/4

A: Given ∫π/4π/33 sec θ tan θ dθWe know that ∫sec(x)tan(x)dx=sec(x)Therefore ∫3 sec θ tan θ dθ=3sec θ+C

Q: Solve for a in the triple integral. (Enter your answers as a comma-separated list. f3-a-y2 ↑4-x-y dz…

A: ∫01∫03-a-y2∫a4-x-y2dzdxdy = 14/15 here we have to find value of a  so integrate this and after  put…

Q: Evaluate the integral сos(π/x+) x5 dx

A:

Q: QUESTION 9 (8 points) Use a change of variables to evaluate the following definite integral. S 6x dx…

A: The given integral is:∫12​(3x2+4)36x​ dx a.) Let u be the expression inside the parentheses in the…

Q: (d) Derive the formula cosh-¹(x) = ± In (x + √x² - 1)

A:

Q: 9.

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Q: L3: Consider the integral = [*(4x². (a) Find the Riemann sum for this integral using right endpoints…

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Q: Consider the indefinite integral fa5. ¹f2³ · √zº — 5 dr: This can be transformed into a basic…

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Q: (а) 4.x dx -2 (b) / (2.² Зх + 6) dx

A: