Find the integral. dx Select one: O A. 5ex - In |x| + C O B. 5xex - In |x| + C 5ex- 2x2 +C/2(x) with superscript (2)) + C" style="vertical-align: -21.0px;"> O D. *C/(x) with superscript (2)) + C" style="vertical-align: -21.0px;">

Q: Evaluate the integral by first reversing the order of integration. NOTE: Enter the exact answer. IL-…

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Q: Consider the integral -6e-l dx If the integral is divergent, type an upper-case "D". Otherwise,…

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Q: -5 Evaluate the integral using integration by parts technique : a Vr+2 dx

A: on applying by parts we get

Q: Use a double integral to find the area of the shaded region.

A: The formula for the area of a region of a polar curve, r(θ) bounded by θ=a to θ=b in the polar…

Q: Evaluate the integral. show that it is divergent.  integral  x 2   - 2  x dx

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Q: dx Use the Substitution Formula to evaluate the integral x(Inx)*

A: The given Integral is ∫24dxxlnx2

Q: Evaluate the integral using the properties of even and odd functions as an aid.

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Q: 5: Evaluate the integral using integration by parts technique : a VT+2 dr

A: i explained everything in the 2nd step to se complete solution please visit 2nd step

Q: Use integration by parts to evaluate the integral: fam -1 xdx

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Q: Use a double integral to find the area of the region. The region inside the circle (x − 3)2 + y2 =…

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Q: 16-y2 16 – 22-y drdy by using appropriate coordinate system. an

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Q: sketch the region of integration, reverse the integral and evaluate 4-x 2 23 4-9

A: Consider the provided question,

Q: Evaluate the integral using the properties of even and odd functions as an aid.

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Q: Evaluate the integral by first reversing the order of integr. NOTE: Enter the exact answer. dy dx 2x

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Q: The area of the region outside the curve r-2+2sin0 and inside the curve r-6sin0 is given by which…

A: given:- r=2+2sin∅ r=6sin∅

Q: (4x-1)dx (2x+1)Z 3

A: ∫(4x-1)dx2x+13/2 Let  2x+1=y ⇒ 2x=y-1⇒4x=2y-2⇒4x-1=2y-3

Q: evaluate the integral using the methods covered in the text so far.

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Q: Consider the integral -7 dx If the integral is divergent, type an upper-case "D". Otherwise,…

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Q: Q2 Approximate this integral using Simpson's rule whose abscissa and weights are given by {-1,0,1}…

A: Please check step 2 for the solution

Q: Evaluate the integral using integration by parts with the indicated choices of u and dv: -9x In(2)…

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Q: Use a double integral to find the area of the shaded region.

A: We have to use a double integral to find the area of the shaded region.

Q: Givm trapgoidal rule with h =0.25 by Using apploximate the integral.

A: The solution is Given as

Q: Write the improper integral as a sum of limits of proper integrals. Do not attempt to evaluate the…

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Q: Evaluate the integral using the properties of even and odd functions as an aid.

A: Given: I=∫-22x2x2+1dx let's  fx=x2x2+1 first checking fx is odd or even, for that we put x=-x in fx,…

Q: Consider the integral -4 dx If the integral is divergent, type an upper-case "D". Otherwise,…

A: We need to check if series is divergent.

Q: b) Evaluate the indefinite integrals using Tabular Integration by parts. i) S(x² + x + 1)Sinxdx ii)…

A: Answer

Q: Evaluate the integral by using a substitution prior to integration by parts. Sin(2x+2x²) dx Hide…

A: Given ∫ln2x+2x2dx

Q: Use the indicated entry in the Table of Integrals to evaluate the integral. (Use C for the constant…

A: GIVEN ∫3x4−9xdx.....1

Q: Evaluate the integral using the properties of even and odd functions as an aid.

A: ∫-22(x3-2x)dx

Q: 3. V1-x². /1 — х2 хdx

A: To solve this integral, a substitution is made. The substitution taken is 1-x2=u. This equation is…

Q: Approximate the value of the integral by use of the trapezoidal rule, using n= 8. 7 49-x² dx ..... 7…

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Q: dx: Evaluate the improper integral if it exists The improper integral diverge:

A: ∫1∞1x3dx=-1x2

Q: sinx cos

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Q: Find the approximate integral of 4 1 * -dx In x 2 when n=10 using a) the Trapezoidal Rule, b) the…

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Q: Sx³(a² + x²)+/2dx

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Q: Use n = 4 to approximate the value of the integral by the trapezoidal rule.  ∫(upper limit 5, lower…

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Q: 1 - dx x In x 2. Evaluate the improper integral or show that it is divergent.

A: To show that it is divergent.

Q: Q4] Use double integrals to find the area of the region that lies inside the cardioid r 1+ cos 0 and…

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Q: Use a double integral to find the area of the shaded region. n/2 10 r = 8 cos 20 5 - 10 -5 5 10 -5…

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Q: Evaluate the integral by reversing the order of integration. Evaluate 5ex2 from…

A: Consider the given integral,

Q: Consider the integral , -dx Using 3 equal subintervals, approximate the value of the integral using…

A: Let f be a continuous function defined on a closed interval [a,b] and a=x0<x2<⋯ <xn=b be a…

Q: 2火 Consider the double integral So So Set up double integral by aん ez vivzlent Reuersing the order…

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Q: In(xty) dA X-- (utv) 2 y-! (u-v) Kis the squave bounded (1,2), (2,3), (3,2), (2,1) by

A: The given integral is  ∫R∫ln(x+y)dA x=12(u+v)y=12(u-v) R is the square bounded by (1, 2), (2, 3),…

Q: Evaluate the integral. show that it is divergent.  integral 1/ ( 2x + 3 ) 2 dx

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Q: Consider the integral -3 In(x) dx If the integral is divergent, type an upper-case "D". Otherwise,…

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Q: Approximate the integral using the indicated rule. 36   0x2 dx; midpoint rule; n =

A: To evaluate:∫036x2 dxUsing midpoint rule using n=6

Q: Consider the integral -4 dx x2 If the integral is divergent, type an upper-case "D". Otherwise,…

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Q: 3. Explain why 3 1 dx 3-x V3 - is an improper Riemann integral. Determine whether this improper…

A: Given: ∫2313−xdx To determine: The reason why the given integral is an improper Riemann integral.…

Q: 65 Use the midpoint rule with 8 rectangles to approximate In 65 dx: (F),7 The integral is…

A: To find the approximate value of ∫1651xdx Using mid point rule Given n=8