1) Evaluate. Јx cosh ax dx 2) Evaluate the integral. (In x)² dx x3 1

Q: 3 4 dx x2 + 9

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Q: Evaluate the integral. 6. 9 In(y). dy Vy J4

A: Given,             ∫49lnyydy

Q: Evaluate the integral of ((x dx) / (x + 1)^8) from 0 to 1.

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Q: Evaluate the integral dx (2x + 11) by making the appropriate substitution: u =

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Q: Consider the following integral: (³ In(2x) dx.

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Q: dx Evaluate the improper integral x(In x)?

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Q: tan (In |4x2|) -dx is b in cos (In |(2x)*|)|+c. The integral of What is b?

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Q: Use a substitution of the form u = ax +b to evaluate the indefinite integral belov 7x+1 dx 7x+1 dx%=

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Q: Evaluate the integral. dx a > 0 (a² + x²j3/2?

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

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Q: Use a substitution of the form u = ax + b to evaluate thefollowing indefinite integrals.∫e3x + 1 dx

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Q: 2. Identify which of the following integrals are improper: 1 1 dx 1 fin(x)dx 1 X +3 1 fe* dr -dp- 3

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

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Q: Evaluate the derinite Integral. #5 In(x) dx

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Q: Evaluate the double integral. 8ху? dA, D is enclosed by x = 0 and x = 4 – y2

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Q: 7) Evaluate the integrals a) 3(x + 1)²dx b) secx (tanx +cosx )dx

A: An indefinite integral, also known as antiderivative, is a function F(x)=∫f(x)dx such that…

Q: Evaluate the integral 20 | by making the appropriate substitution: u = 5 – 2 (2³ – 2)® dx %3D -

A: Evaluate the integrals

Q: evaluate the iterated integral.

A: ∫03∫-20x2y-2xy dy dx=∫03∫-20yx2-2x dy dx=∫03x2-2x dx∫-20y dy

Q: Find the integral. J 3 x√9 - (In x)² + C dx

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Q: Use a substitution of the form u = ax + b to evaluate thefollowing indefinite integrals.∫ cos (2x +…

A: ∫cos2x+5 dx Now put 2x+5=u Differentiating with respect to x, we get 21+0=dudx⇒2 dx=du⇒dx=du2

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 following integral. 4 3е ху dz dx dy -111

A: Given: ∫-14∫13∫1ex2yzdz dx dy

Q: Apply Green's Theoren to evaluate the integral. C6x+y) dx + (3xy"+4y) dy ter

A: Given integration is ∮c(6x+y3)dx+(3xy2+4y)dy C : Any simple curve in the plane for which Green's…

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

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Q: 10) Evaluate the integrals by substitution 2 -dxp 3 -2 (x² + 2)° a)

A: We have to evaluate the integrals by substitution method: ∫-22xx2+23dx Assuming, t=x2+3 Then…

Q: Evaluate the integral √ (k+ 2) ( k + 3) dx

A: Note:- according to the company policy we can attempt only one question so please upload the next…

Q: 2. Evaluate the indefinite integrals: D = tan r secʻ r dr 8x + 7 dr 72 +1 E = - 2dr F = dr V9 - 36x2

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Q: Evaluate the improper iterated integral. • 1/x9 y dy dx Jo

A: In this question we have to evaluate the integral.

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

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Q: Evaluate the definite integral. 8. (In x)2 dx Hint: Let u = (In x)2, dv = dx

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Q: Evaluate the integrals "m/4 tan → 53. yeon sin t dt sec² t dt 54. x^(1 + Inx) dx alnx - dx 55. 56.

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Q: Evaluate the integral dx (4x + 14) by making the appropriate substitution: u = dæ (4x + 14)* Submit…

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Q: Evaluate the following integral as written. In 8 8 5y dx dy 0 ey In 8 8 | dx dy = (Type an exact…

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Q: Jy cosy smy dy 3

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Q: Suppose we perform the substitution u=1+Vx in the integral dx . (1+Vx)5 What is the resulting…

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Q: (3) Evaluate the iterated integral , " (3 + x² +v²) dx dy.

A: First integrating with respect to x and then with y

Q: 9. Evaluate the indefinite integral x'V4-x² dx . 3 Hint: Let u = 4 – x² and write x' = xx?.

A: Given ∫x34-x2dx

Q: Evaluate the integral. I sec (8x) dr tan(8z) In(cos)(3r) 64 +C X

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Q: Evaluate the Cauchy principal value of the given improper integral. 1 [ (x² + 4)² dx

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Q: d) Prove the results of the integrals 3 dx = 2+ In (2)– 4 [In (5)– In (3)]. x² +3x +2

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Q: Evaluate the integral. 7 - x2 | x5y dy

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Q: 9. In evaluating the improper integral dx , which of the following is true? (1-3x)2

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Q: Q2: Evaluate the integral fx In x dx using by parts formula

A: Note:- As per our guidelines, We can answer the first question since the exact one wasn’t specified.…

Q: Evaluate the improper integral dz, if it exist (x² + 49)2

A: Here we have to evaluate the given improper integral.

Q: In the indefinite integral J 3x²e* dx, the integrand is A 3r © 3x2 D x³+C B.

A: The given integral,    ∫3x2ex3dx

Q: Evaluate the integral.

A: Evaluate the integral.              ∫04-x2x2ydy

Q: Evaluate the integral of ax^2 e^bx dx assume a and b are constants.

A: Please see the explanation below

Q: Evaluate the integral in (7x) -dx. Choose the correct answer below. O A. - In (x) - 16 1 +C 16x* -In…

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Q: Evaluate the iterated integral. 2 4 (x2 – 2y2) dx dy 1 Jo

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