Evaluate: 2 1 dx x7 The integral is divergent.

Q: Use the indicated substitution to evaluate the integral.

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Q: Evaluate the integral :(x² + y* )dzc>xcy = ?

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Q: Evaluate the integral. -2x. + C dx NOTE: Enter the exact answer.

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Q: Use the substitution formula to evaluate the integral. S'ia dx (Hint: simplify first) 1 2 11 22

A: Solve the following

Q: Evaluate the integral. 17 dx 2 Vx² – 1 - NOTE: Enter the exact, fully simplified answer.

A: Let's find.

Q: y²dy (y²+16)3/2

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Q: Evaluate the integral.

A: Recall

Q: Use the substitution formula to evaluate the integral. T/8 19) (1 + etan 2x) sec 2x dx

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Q: Q5. Sketch, evaluate, and reverse the integral: lí dy dx,

A: 5. Given integral is ∫02∫1ex dy dx   To sketch, evaluate and reverse the integral.

Q: Using an appropriate substitution, 8tan-1x the integral J dx equals: 1+x2

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Q: Evaluate the integral. 1 -dx J-3 (x + 6)(x² + 9) Answer:

A: Ans = 0.07456 First do the partial fraction so that it can be integrate simply as I have done in…

Q: Q32] evaluate the Cauchy principal value of the given improper integral. roo 1 dx x° + 1

A: Since you have post more than one non interlinking question as per our guideline we can solve only…

Q: Evaluate the integral. NOTE: Enter the exact answer. 12 dy dx = lo (xy+ 1)²

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Q: Evaluate the integral х3 dx x2 +49 х3 dх x2 +49 (Use C as the arbitrary constant.)

A: We substitute x^2+49=t, then the given integral become

Q: Evaluate the integral |x'(x* – 7)6 dx, by making the substitution u = x* – 7. +C Note: Your answer…

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Q: Evaluate the integral. (Use C for the constant of i 4x2 + 3x + 4 dx (x² + 1)2

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Q: Q32] evaluate the Cauchy principal value of the given improper integral. x2 dx (x² + 1)²'

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Q: Sx²e2x*dx `x²e?

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: Evaluate the integral J 2x(x² + 6)¨ dx using the substitution u = x2 + 6. | 20 (a? + 6) " d.x +C

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Q: Evaluate the integral. V4– e2¤ dx +C

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: Consider the integral 3 4х f (x, y) dy dx 0, Evaluate the integral for f (x, y) = 5x²y

A: Given Data: Integrand: ∫03∫04xfx, ydydx Function: fx, y=5x2y3 Integrate the function. ∫03∫04xfx,…

Q: 2 Væ? – 1 -dx. x² 1

A: Here , we will solve the integral using substitution form .

Q: Evaluate the integral p.v. J e2ix -dx. 00 x+1

A: We can apply Cauchy integral theroem to find the integral.

Q: b. In each part, evaluate the integral, given that (2x, f (x) = x 1 12, i. Lf(x)dx. ii. i f(x)dx.

A: Since f is an piecewise function therefore we need to divide integral limits in parts and pieces to…

Q: evaluate the integral: r^x/-5+r^x dx

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Q: (뚜 - 굶) da 3x Evaluate the integral J (* – 3) dx.

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Q: Evaluate the integral: fé 2a sec e da

A: Given integral, ∫e2a sece2a  da

Q: Evaluate the integral. a dx 2 a > 0 (a² + x²)3/2' V2 92

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Q: Evaluate the integral x(x – 5)7/2 dx by making the substitution u = x – 5.

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Q: (a) Evaluate the following indefinite integrals: (i) 10 (ii) fx³ Vx-1 dx 2 -Vy - 3 Vy 4

A: Evaluate:

Q: Evaluate the integral. 19 dx x²/x² NOTE: Enter the exact, fully simplified answer.

A: Let I = ∫2219 dxx2x2-1

Q: Evaluate the iterated integral. NOTE: Enter the exact answer. p4 16-x2 16-x² x dz dy dx -16+x²+y?

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Q: Evaluate the integral 29 (2° – 2) dx -y making the substitution u = x° – 2. + C NOTE: Your answer…

A: Given query is to find the integral.

Q: Evaluate the integral. V16-a? 1 dy dx dz = -V16-x2 (x2 + y?)1/2 -4.

A: We can solve as follows

Q: Evaluate the integral using an appropriate method. J = 3 22+5+6 dx

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Q: Evaluate the integral. 19 dx x²Væ² – I NOTE: Enter the exact., fully simplified answer.

A: To evaluate:∫2219x2x2-1dx

Q: 11. The integral of nunex dx is bln]sec(In(2x)")|. What is b? A. 2 B. 2 C. 4 D.

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Q: Evaluate the integral. /9-x2 dy dx dz = /9-x2 (x² + y²)!/2 3 J

A: Straightway, without any further delay, please convert to cylindrical coordinates: x = rcost; y =…

Q: Evaluate the integral.

A: To evaluate: ∫dxx2-4x Given integral can be re-written as: ∫dxx2-4x=∫1x2-4x+4-4dx=∫1x-22-22dx We…

Q: Which of the following is not an improper integral? dx a2+9 dx (x-2) dx O J3 3-2x-a² O 7 tan æda So

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Q: x? Use the residues to evaluate the improper integral: -dx . (x² + 1)(x² + 4)

A: According to the given information, it is required to evaluate the improper integral using residue…

Q: | 2°+Idal Vx² +1 dxl

A: The given integral is- ∫x3x2+1dx Let x2+1=u Differentiate w.r.t. x to both sides- 2x=dudxdu2=xdx…

Q: Evaluate the double integral.

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Q: Evaluate the integral f 9(√x² + y²) dxdy.

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Q: Evaluate the integral.

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Q: Use the specifie substitution to find or evaluate the Integral. (Use C for the constant of…

A: To solve the integration uisng substitution method

Q: Evaluate the integral (use the substitution) : 2x + 6 x2 + 6x + 13 dx а. In (x + 6x + 13) + C b. 1…

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Q: x³ dx 3. S V(x2-9)3 (x²–9)3

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Q: Find the value of P which the integral convesg'es,absolubely Conditionally Sin Vz) dx .P

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Q: Evaluate the integral. (Use C for the constant of integration.) / G 6.9 + +0.5 +0.5 5ex dx 6 -

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