Evaluate 24 dx (Hint: g bretan(u)-Tu V3 here is the 4h/ radicalof 3

Q: S In(5æ)dx Choose... dx /2x-a2 Choose...

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Q: Evaluate the followin dx X dx%3D X- 3 (Type an exact answer.)

A: Integrate as general

Q: 1 -x' dx (6х +5)*

A: Note: -Since you have asked multiple question, we will solve the first question for you. If you want…

Q: dy mx. dx For this problem, replace m with the number of letters in your first name.

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Q: Given that 3 ex dx — ез . e, use this result to evaluate 5ex 6 dx.

A: Given that

Q: 2.x? Evaluate dx using substitution technique. 2x' +5

A: Since Mulitple questions are asked, Hence doing only first question.

Q: Use the given substitution to evaluate the following indefiniteintegrals. Check your answer by…

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Q: 1. Se²-3× dx 2. dx

A: To evaluate the given integrals.

Q: 3 Given that 3. e dx = e° - e, use this result to evaluate 3ex + 4 dx.

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Q: Choose the statement below that is FALSE (only 1 is false) and piein why it is taise. \a (x+ 2)² 6 #…

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Q: а) Using an appropriate substitution, i) Evaluate fx*(1- x) dx. x2 Show that , (x-1)3 *+ In 2 . ii)…

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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: make the given substitutions to evaluate the indefiniteintegrals. dx/ √(5x + 8)

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Q: Evaluate the 2 intergrals attached as images with the question.

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Q: の1) (のの) (めみ) Cn %3D Cnt = %3D antt San So,itis increa Sing. @dn=

A: dn=n32n! On simplification, we get dn=n32n·2n-1!=n22·2n-1! Now,…

Q: Determine whether the statement is true or false. If it is true, explainwhy. If it is false, explain…

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Q: In5 (x + 1)²e* dx

A: Given, ∫0ln5x+12exdx  We have to evaluate the integral and simplify.

Q: 3(х — х у? г) dx dy dz Evaluate O 5 O 8 O 6 O 7

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Q: 1 dx VI+ 7x 14. 0.

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Q: Explain the relationships between d S, dS, and dA. In particular, show how d S can be defined in…

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Q: 3 ex dx = e3 - e, use this result to evaluate Given that 5ex + 6 dx.

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Q: | V49 + x² dx (7) (8) / - ² x – 4 dx x In x

A: Solve by integra

Q: Provide an appropriate response. Find: dx Soloct ono:

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Q: 1 dx, x > 2 x2 Vx2 – 4

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Q: Use a computer algebra system to evaluate theintegral. Compare the answer with the result of using…

A: Find the value of the integral ∫11+x3dx. Evaluate the integral as follows. ∫11+x3dx=∫3u21+udu…

Q: b) Si Va dx. (Recall that x = Vra = (V)" so could you rewrite this as a x°?)

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Q: | ex dx = e³ – e, use this result to evaluate Given that 4ex + 7 dx. ( +

A: Given data: ∫13exdx=e3-e......(1) We have to evaluate ∫134ex+7dx ∫134exe7dx⇒4e7∫13exdx

Q: Explain the relationships between d S , dS, and dA. In particular, show how d S can be defined in…

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Q: Find the oiven denivative by finding the fiot fw denivals ond dbscning the pattern that occurs 106…

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Q: C2. By dividing the range into 8 equal parts, evaluate 1 dx using Simpson's rule. 4x +9

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Q: Use the given substitution to evaluate the following indefiniteintegrals. Check your answer by…

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Q: EVALUATE THE FOLLOWING: dy is 19-49y? dx tdt 2.17+64 1. 3. xV4x - 25

A: 1. Let  I =  ∫dxx4x2-25         Put  4x2-25 =t          ⇒ x2  = t2 + 254          differentiate…

Q: Use this rule to differentiate xP. d P = (Type an exact answer.) dx

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Q: 1 dx x/x? – 4

A: Put x=2 sec theta

Q: Calculate T; and M, for S, /x4 +9 dx. (Use decimal notation. Give your answers to five decimal…

A: For the trapezoidal rule,

Q: evaluate using the suggested method.

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Q: dy b. -ху 3D х, у(0) — 2 dx

A: As per our guidelines, we are supposed to solve only one question.Please repost remaining   question…

Q: 2 dx Evaluate J xvx4 + 25

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Q: 4. Describe in detail three separate ways to find /. Evaluate any two of these to show that they are…

A: I=∫x9-x2 dxUsing substitution method:u=9-x2du=-2x dxx dx=-du2=∫x9-x2  dx=∫-1u du2=-12∫duu=-12∫u-12…

Q: 4 er substitution is performed, which of the following is equivalent to L*x³ VI +x*dx ?

A: Using substitution we solve the intregation.

Q: Which of the following is equal to – 7æ)*dx = . %3D

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Q: 2. dx tanx 4t² dt

A: To differentiate the given function.

Q: Evaluate: ³²₁ [2³(x + y)³] dz dy dx

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Q: 3 Given that ex dx = e³ – e, use this result to evaluate 7ex + 4 dx.

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Q: * Please explain how to get from A to B using the above imstRuction s Tha ncs 0.11 9.0909 > x…

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Q: We must also convert dx into an expression involving u. We know that du dx, and so x3 dx = X du.

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Q: 2x dx Using an appropriate substitution, evaluate: (A 4

A: Assume 2x= t then convert the given integral into t . Use integral formulae to evaluate integral.

Q: Evaluate dx using appropriate substitution. Verify your answer by differentiating. an 1+ 2¤²

A: Given,           ∫x2x21+2x2dx

Q: 4 dx x2 1/8 (Type an exact answer, using x as needed.)

A: We have to find the definite integral.   According to our guidelines we can solve only one question…

Q: luate:J(2x}-1)({3× }-1)dx }denotes. the fractional part.

A: We are asked to evaluate the integral.

Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus. 

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.