Evaluate the integral (x – 1)ez xp- x² – 2x + 2

Q: 3 4 dx x2 + 9

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Q: The improper integral 1 dx is 'o 2V1-x²

A: this can solve simply by apply the integration formula

Q: dx 6. Evaluate the improper integral. x² +3x+ 2

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Q: Evaluate the integral. - 1 y° - 7y° dy У -1 9* У – 7y° dy = -Ty - 4

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Q: Find the general integral and compute 3 diferent solutions for : xzx+(x+z)zy=y-x

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Q: Substitute u = x + 2 into ul0 - 2u° + C to evaluate the given integral in terms of x. 10 | x(x + 2)8…

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Q: 1 dɔ V9-x² 3

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Q: 3. Write as a single integral in the form S(x) S(x)dx -2

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Q: Find the complete, singular and general integrals of p3 + q3 = 27z. %3D

A: We have to find the complete, singular, and general integrals of:  p3+q3=27z

Q: 2x Evaluate the improper integral dæ, if it exists. (x2 + 64)2

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Q: Find the complete integral of the z'(p°z² +q°)=1

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Q: Evaluate the integral of (t2) / √(1+t2 )with respect to t.

A: It is given that, f(t)=t21+t2 It is known that, ∫1(x2+a2)dx=logx+x2+a2+c and…

Q: dx 7. S x V9x2-1

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Q: Evaluate the integral +2 zp; :- 2 in the two cases: 1) y = {z :|2| = 1}; 2) y = {z : |2| = 3}.

A: We will evaluate it by Cauchy Residue Theorem Let R be the residue then ∫f(z) dz = 2π i R Firstly,…

Q: Evaluate the integrals

A: Given: ∫-3-1y5-2yy3dy for evaluating this limit we first separate terms then integrate it

Q: what is the integral of e^(-2a|t|) from 0 to w

A: Given integral: ∫0we-2atdt

Q: 24. Evaluate the integral: ," dy y2+2y-3

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Q: The improper integral 2dx 0. 1-x2 3 T

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Q: Evaluate the integral. (Use C fo ( 8x2 + 7x + 8 dx (x² + 1)2

A: Given integral is, ∫8x2+7x+8x2+12dx

Q: Evaluate the improper integral 2x dx, if it exists. (x² + 81)² 8.

A: The value of the integral ∫-∞02xdxx2+812 is given by: ∫-∞02xdxx2+812=-1x2+81-∞0=-181-1-∞=-181-0=-181

Q: Evaluate the integral. et i + 3t2 j + In(5t) k) dt + C

A: We have to evaluate the given integrate…

Q: メT 2. 5+x of

A: The given integral is; 1/(5+x2).

Q: Evaluate the integral. 36-² 1 [²+² -√36−x² (x² + y²)¹/2 dy dx dz

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Q: Evaluate the integral f 2x (x2 + 7)° dx using the substitution u = x2 + 7. 2.x (x² + 7)° dx +C

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Q: The particular integral of (D² – 2D+ 1)y = xe® is 2 -2et - x2 3

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Q: Evaluate the integral f 2x (x² + 3)° dx using the substitution u = x2 + 3.

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Q: a) Let f(x) = 35 – 2a-1 +5+ 7x². Compute the integral of f. %3D

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Q: Evaluate the integral fe (2x+4) (x² + 4x + 2) dx n- by making the substitution u = x²+ 4x +2.

A: In the question we have to find the integral of the given function.

Q: 7. Evaluate the integral r8-2x (x + y + 1)-2 dydr.

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Q: Evaluate the improper integral 1). Sa -2* 2 dx x2-2x

A: Given: ∫3∞2x2-2xdx We have to evaluate the improper integral.

Q: Find the complete integral of (p2 + q2)y = qz.

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Q: Evaluate the integral f 2x (x² + 5) dx using the substitution 13 u = x +5. 2x (x² + 5)*° d =| +C

A: I =∫ 2 x (x2+5)13 dx  u = x2+5du = 2x dxI =∫ u13  du We know that,∫ xn  dx =xn+1n+1+C

Q: -dr evaluate the integrals by substitution method J 2dx V2+r /2+x

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Q: Evaluate the integral. dx J2 (x² – 1)3/2 -Csc O

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Q: The improper integral 2dx is 1-x2 0.

A: π

Q: 1. Use integration by parts to find the integral below. In(x19)– 9x10+C a. b. x ·In(x1)– 10x10+ C c.…

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Q: Q2/Evaluated the integrals v2 1- f– (1-v2 )2

A: The integration of v2/(1-v2)5/2.

Q: Evaluate the integral. 3t-2 clt to t +1

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Q: Evaluate the integral. 2 - 121 y - 121 2 -dy, y> 11 dy=

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Q: Evaluate the improper integral t* e-2t 3+e-4t at

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Q: Evaluate the integrals ∫ e4t + 2e2t - et/e2t + 1 dt

A: Consider the following integral:…

Q: Evaluate the integral. 2 (8t i - j+ 3t5 k) dt

A: We first separate the integral

Q: 1. Compute the given integral. Using Substitution Method 5x-12 dx = +C 5x2-24x-1 *

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Q: Evaluate the integrals

A: Given information: ∫141ti+15-tj+12tkdt

Q: Evaluate the integral. Sa x² + 9x – 1 dx J (x – 4)(x² + 1)'

A: Given that a integration and we solve this integration by using general formulas of integration. We…

Q: Evaluate the integral -6y dy e2y

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Q: Evaluate the integral d.x (V4 – x²)³ 0. -

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Q: Evaluate the integral.   The integral from 1 to 4 of e^(4/x)/x^2dx

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Q: Evaluate the integrals in ∫2 t e-t2 dt

A: Given:2∫ t e-2t dt

Q: Find the integral dt (t2 + 25)2

A: Given, ∫dt(t2+25)2