4. 5x + Vx) dx = |(Simplify your answer.)

Q: S cFinz (Inz + 1)dz

A: Given: 7. ∫azlnzlnz+1dz To Find: To evaluate the given integration.

Q: -п/8 S sec? (2x)dx

A: We have to evaluate the definite integral: ∫0π8sec22xdx Assuming, t=2x Then definite limit will also…

Q: 1 By using completing the square , dx can be rewritten as /x²-4x – 7 1 VTr- 2)²– 3 1 =dx V(r- 2)? +3…

A: We need to write the following integral by completing the square   ∫1x2-4x-7dx

Q: 7 1. 2ydx+x²dy = - dx; y = - when x =1 In 2 2

A: Given:- 2y dx +x2 dy =-dx  To find:- Solution of Differential equation at y = 7/2 when x =1/ln(2)

Q: 3) S x tari'x dx X,

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Q: 57. Verify that S2 yields the exact value of | (x – x³) dx.

A:

Q: 19. What is the equivalent value of *Vx+ Tdx 20. In evaluating (&+ Idx x dx which one is to be used?…

A: The solution for the above question is as shown below.

Q: Q3. Evaluate : IL (2) * dy dx

A:

Q: to determine the approximate value of v(1+x³)dx

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Q: What is the value of , x(x + 1)+ dx ?

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Q: 5. Evaluate sin y - dy dx y

A:

Q: 7 Calculate 2x+ x-) dx, given the following. 7 8 218 169 Xdx xdx = 12 3 3 7

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Q: 3. Se paration of Varlable s: x(y +1)dx+

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Q: (3y³ – x³) dx = 3xy² dy; y(1) = 2

A:

Q: (b)/ Use the Trapezoidal Rule with n = 4 to estimate (x' + 1)dx.

A:

Q: Q1/ Answer the following: 1- " |x | dx = ? 2- ofw4 sec² x dx =1

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Q: 2x dx by taking n = 4 1+ x Use trapezoidal Rule to evaluate

A: trapezoidal rule

Q: 1. Use a substitution to find (6x2 2)e*+¤ dx showing working.

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Q: 2sinh cosh -dx 3cosh? * 2

A:

Q: S sin Vat dt

A: Let the given integral be: I=∫sinat dt

Q: 14) find the respect of y with respect to x Y=(6x+5)^x dy/dx=?

A: Given function: y=6x+5x Taking log to the both sides logy=log6x+5x We know that logxa=a log(x) So,…

Q: c) Use trigonometric substitution to integrate dx 4-x2

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Q: 4 – 2x dx. x3 + 2x2

A:

Q: 22. Use the Trapezoidal Rule with n = 4 to approximate 1 (x− 1)² dx

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Q: Complete the evaluation of V4 x make sure to express your answer in dx in Example 2; terms of x.

A: Consider the provided integral, ∫x24-x6dx Solve the above integral and write down the answer in term…

Q: 33.) Show all steps to evaluate by hand: 4-х2 Vx2 + y2 dy dx

A: We have to evaluate the double integral using polar coordinates

Q: (a) Use n = 6 subdivisions to approximate the value of 6 Vx + 3 dx by the trapezoidal rule.

A: We need to find approximate value by trapezoidal rule. NOTE - AS PER OURGUIDELINES WE CAN NOT SOLVE…

Q: 3z cos(z)dz

A:

Q: How would I do this question?

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Q: 4х-6 -dx х2-8х+20

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Q: 2x dx by taking n = 4. 1+x Use trapezoidal Rule to evaluate

A: on solving this we get

Q: if x = acos30, y = asin30 , find /1 + 2 dx

A:

Q: 2. Use trigonometric substitution to Vx² – 25 dx integrate: 4

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Q: 56 Given that: S V56x - x² dx Find the value of m

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Q: valuate. (Be sure to check by differentiating!) 1 dx, x - 3+7x 3/7

A: Evaluate the given integral and check it by differentiation. ∫13+7xdx, x≠-37

Q: ..... Q.5 Show that s! dx= 2a"

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Q: Q2 \ Evaluate .1 dx by using trapezoidal rule. 1+x2

A: See the details solution in below

Q: (a) Evaluate by solving the work for (i) Sxe-*dx.

A:

Q: find the antiderivative of dx/sqrt(ex-1)

A: To find : The antiderivative of dxex-1 Solution The antiderivative can be evaluated as, ∫dxex-1 Put…

Q: 9. For what value of k, k> 0, does (4kx-5k) dx = k² O 1 O 2 3 O 4

A: On solving this we will get

Q: 7 dx = x3

A: ∫xndx=xn+1n+1+C1xn=x-n

Q: 0.2+ 25x+ 3x2) dx

A: Simpson's 13 rule: ∫abdx=h3(y0+4(y1+y3+y5+...++yn-1)+2(y2+y4+y6+...+yn-2)+yn)   Simpson's 38 rule:…

Q: (a) Use n = 6 subdivisions to approximate the value of Vx + 3 dx by the trapezoidal rule.

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: 1 B3. Evaluate dx, using substitution method.

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Q: Q1: what is on (3x) SI2 dx x2

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Q: 2r+3, x<I f (x) dx if ƒ (x) = 5, Evaluate

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Q: d 53. cosh? (9 – 31) = –6 cosh(9 – 3t) sinh(9 – 3t) dt

A: Given derivative is ddtcosh29-3t.

Q: 19. S.cosTa de cos7x dx 5

A:

Q: 9. 2y(у? — х)dy — dx, when x %3D2,у %3D 2

A: Given that: 9.     2y(y2-x)dy=dx,    when x=2, y=2     NOTE: As per our answering guidelines, we can…