2 3 let (4-x2) 2 dx , write the integral by using Beta function 0. 1 5 8 B 22 .a 1 3 8 B 2 2 B 3 5 2 B 2 2 .dO . 2

Q: 1 e-r/2 dx = 1. (2m

A: Using double integral of Cartesian form and polar form.

Q: II. Evaluate the following integrals: 4 1 dx ½2x+ 7 2 1 4. 5. 6. 4-5x -dx-

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Q: Evaluate the integral. Select the correct answer. 2√ 213, 9 S -1 -1 tan 2 ( 1² + 2x + 4) - ²¹ (+²) -…

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Q: 3 I (4-x²) dx let 2 write the integral by using Beta function .a 1 3 8 B 2'2 .b 8 B 2'2 .C B 2 2 .d…

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Q: Evaluate the integral: e³+cosh2x33+cosh2xsinh2x dx A (3e)3+ sinh2x 2In3 + C (3e)3+ sinh2x B 2 + In3…

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Q: b 1+ e2x Evaluate the integral. ex xp 1 + e2x

A: Given that: ∫01ex1+e2xdx

Q: 3. Evaluate the indefinite integral e* –3 -dx (e²x +1)(e* – 2)

A: Consider the equation

Q: a=1 and n-1. Let f(t) = tet SHOW all of your steps of integration clearly.

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Q: 1: Evaluate the integral 3x - 1 (x + 4)(2x - 1) I -dx.

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Q: A-(16degree) Express of the integral in term of Gamma function S(In )a-1 dx

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Q: 3. Evaluate the integral. (a) -2/3 dx

A: Evaluate the integral

Q: QUESTION ONE (1) a. Evaluate the double integral below;

A: Note- Acc. to Bartleby guidelines, we are supposed to do only one question. If you want more…

Q: 3. Evaluate the following improper integral; -2 2 dx x² – 1

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Q: dx 4. Evaluate the integral 0<a <1. 1+asinx

A: According to question,Given integral,∫02π dx1+a sin x,where,0&lt;a&lt;1

Q: 7. Which of these is a non-elementary integral? In(2y² + 1) А. -dy 4y e-x cosh(2x) В. c. [ e-x +…

A: Non-elementary integral for a given elementary function is an  indefinite integral that is, itself,…

Q: 4х+2 Evaluate the integral -dx. (Hint: Use Algebra to help further rewrite your (x² +1)(x=1)…

A: First break by using partial fraction then integrate

Q: Evaluate 1. 2. the integrals: (1-cos²x) 3/² dx Se* sec³ e* dx

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Q: 12. Find the integral of S (x². √(x² + ² =) dx

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Q: 61–68. Derivatives of integrals Simplify the following expressions. 61. + 1 + 1) dt d 62. dx e' dt…

A: Since you have posted multiple sub questions we will solve first two questions for you. If you want…

Q: I need help on #29

A: The given integral is

Q: 9-36 Evaluate the integral. So 36 - 9. x'V16 + x?;dx 10. dx V9 6, Vx² 1 dx 13 - dx 36 - х2 11. 12.…

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Q: 2e Evaluate the integral dx 2x +3

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Q: 3. Find the following integrals. Sdx dx 3x-1 a. b. x2+5

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Q: 6) Evaluate the improper integrals ∞ 5 a) 5² (+ + e-") dx s (-x) е 2 7 5 b) ² = 8 dx 4x-8 2

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Q: 2 3. Evaluate the integral ||x dx -2 O 2 4

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Q: 5x dx. - 6 Compute the integral x2

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Q: 5. Evaluate by using beta function: | °(1 – r*)} dx.

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Q: 1+ VI (20) Evaluate the integral: -dx. VI

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Q: x² Va?-x²dx let write the integral by using Beta function 3 3 .a O 2'2 a (5 3 2'2 .b O a4 1 5 B 2 .c…

A: let x=asinu  differentiating x= asinu dx=acosudu when  x=0, u =0 x=a,u=π2 therefore, the given…

Q: Q4: a)Evaluate the integral: ( In(cosh2x) coth2x dx b) prove that sec-1x = cos-1! = Cos

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Q: Evaluate the integral. 고-36 x² – 36 . 6cos- (승) +0 /x² – 36 - dx = Vx² – 36 – 6cos¬! + C x² – 36…

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Q: e 2x Evaluate the integral of e* +1 xp-

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Q: 43-44 Evaluate the integral then integrating by parts. 43. dx

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Q: Evaluate the integral: e³+ cosh2x33+ cosh2xsinh2x dx (3e)3+cosh2x A +C 2 + 2ln3 (3e)3+cosh2x 2ln3…

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Q: 11. The integral of an(In|4x-12 dx is bln|sec(ln(2x)ª)|. What is b? A. 2 В. 2 С. 4 D.

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Q: 5. Find the particular integral of d²y + dy - x2 + 2x + 4 dx2 dx

A: We use the operator method to find the particular integral of the given differential equation.

Q: (2х+ 3)dx (3х + 2) 3

A: We have to evaluate ∫-1302x+33x+2dx. Let substitute t=3x+2 Differentiate with respect to x,…

Q: Can i get help step by step with this problem?

A: Given,

Q: •1-22 1-x 1. For the integral dV | dy dx dz , do the following. E a) Evaluate the integral.

A: Given ∫∫∫dV=∫01∫01-z2∫01-zdydxdz   E

Q: 2.4- Find the Integration of SFex) -dx by Simpson's rule knowing that: i-6 > Use 1.5 3.0 72.0 1.0…

A: Simpsons' rule is given by- I=h3y0+yn+2y0+y2+....+4y1+y3+..... Where h is the step size, h=b-an…

Q: 3 1 dx :-1 Evaluate the improper integral: X -

A: ∫031x-1dxlet u = x-1dudx = 1→ du = dx= ∫031udu= ln(u)03

Q: dx Evaluate the integral: 3/2 64 -

A: To solve the given integral problem.

Q: 1-X let dx , write the integral by using Beta function 0. 1 3 .a 2'4 1 B 2'2 .b O 3 .cO 2 2 1 B 4 2…

A: It is on the direct formula Beta function

Q: Integrate I -dz Select one: O A In 1-¹-2²+√1 − x² + C I OB. 21n1-¹³+√1 − x² + C | OC. In 1-²+√1 = z²…

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Q: dx Evaluate the improper integral (x-3)2

A: Given query is to find the value of the integral

Q: 1. Evaluate the integral. -1 (6х — 12) dx

A: To evaluate the given integral.∫3-16x-12 dx

Q: Answer 1 only. Upvote if it is typewritten.

A: We have to find the integral

Q: Step by step

A: To evaluate the below indefinite integral

Q: 23. (a) (2n )! [P,(x)]² dx 2 (n!)ª J_, (1 – x*y" dx (b) By making an appropriate change of variable,…

A: