Some integrals that can be evaluated by hand cannot be evaluated by all computer algebra systems. Evaluate the integral by hand, and determine if it can be evaluated on your CAS. 1 -dx = x8 + x + + C 1 -dx = x8 + x + C 1 -dx = x8 + x + + C 1 -dx = x8 + x + + C 1 -dx = x8 + x + C

Q: Evaluate the integral. | a sec"(3z) dr =| + C

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Q: Use the table of integrals to evaluate the integral. 2 5x³√4x² - x4 dx

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Q: (xt2) (x+2), x+1dx

A: Consider the integrals: ∫x+2x+1  dx…

Q: Evaluate the integrals ∫csch2 (5 - x) dx

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Q: Evaluate the integrals ∫ 1/x3/2 - √x dx

A: Given: integration

Q: Use properties of integrals to evaluate 3 (2æ²) dæ, if j 3 (2a²) 2 j (2*) dæ = *. -2

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Q: evaluate the integral by interpreting it in terms of area

A: Given,

Q: Evaluate the integral by interpreting it in terms of areas. 3 (4 − 2x) dx   −5

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Q: Calculate the integral. (Use symbolic notation and fractions where needed.) e2x dx In 4 1 + e4x

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Q: Use the table of integrals at the back of the text to evaluate the integrals ∫√(9 - 4x)/x2 dx

A: Using table of integrals  to evaluate the integral ∫9-4xx2dx

Q: Evaluate ∫-22(x+3)*(4-x2)1/2dx by writing it as a sum of two integrals and interpreting one of those…

A: We will express the integral in terms of two separate integrals

Q: Find or evaluate the integral by completing the square.

A: Our Aim is to evaluate the integral given below :-∫1-x2-4xdx -(i)

Q: Find or evaluate the integral by completing the square

A: Consider the following integral:…

Q: It can be shown that f e* dx = e – e. Use this fact and the properties of integrals to evaluate…

A: We have to find

Q: Evaluate the integral. 14) x6(x7 - 6)4 dx

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Q: Evaluate the integrals

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Q: Evaluate the integrals ∫ 1/x6(x5 + 4) dx

A: Integration : ∫1x6(x5+4)dxWe need to perform partial fraction decomposition:

Q: Evaluate the integral by interpreting it in terms of areas. 9   −8(1 − x) dx

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Q: Evaluate the integral A) 16T -3 4 x² + 8x + 17 dx.

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Q: Evaluate the integrals

A: Consider the integration as I=∫01x2+xdx

Q: Find or evaluate the integral by completing the square

A: Consider the given integration as I=∫2dx-x2+4x Or it can be written as I=∫2dx-x-22+4

Q: .3 2х — 3 -dx 4 x –x

A: First break the given Integral  Then take 4x- x^2 = u and in other one complete the square  Finally…

Q: Evaluate the integral, if it exists.    ∫ (8 x3  +3x2) dx

A: Given- ∫8x3+3x2dx To evaluate- The above integral. Formula used- The power rule, ∫xndx=xn+1n+1+C,…

Q: 1) Evaluate the integrals for parts a and b. You must show work to receive full credit. Use correct…

A: Given

Q: Evaluate the integrals

A: Given : ∫132x-65dx

Q: Evaluate the improper integral or state that it is divergent. 8. 18) dx 8x(x + 1)2 8. dx 19) ! (x-…

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Q: Use the Table of Integrals in the back cover of Stewart's text to evaluate the integral -1x4 dx Vx10…

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Q: Evaluate by  ∫-2 2  (x +3 )  √ (4- x2)   dx    writing it as a sum oftwo integrals and interpreting…

A: Given: I=∫-22x+34-x2dx we know that ∫abfxdx=∫abfa+b-xdx…

Q: Evaluate the integrals ∫x3x2 dx

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Q: Evaluate the indefinite integral by using the substitution u =6-x to reduce the integral to standard…

A: Topic = Integration

Q: Determine whether the integral is improper L' (x-4)-¹dx (A) Not improper (B) Improper

A: We can solve this as follows:

Q: Evaluate the integrals

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Q: le

A: the given integral is: ∫dxx2+2x+5 we have to evaluate and simplify the given integral.   let the…

Q: Evaluate the integral. x2 2 - x3 dx =

A: We can observe that,  Numerator x2 is of the form of derivative of 2-x3 So, it can be used to…

Q: yz dxdzdy -126 -84

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Q: 1. x² +1

A: some integrals are given, we have to integrate it

Q: Evaluate the integral by interpreting it in terms of areas. 4 + 9 — х2) dx -3

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Q: 5. Evaluate the integrals using appropriate substitution., a. x*/5+x* dx b. f coszdx os-dx 7x2 +…

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Q: S (e* - ) av

A: Solve the above integration.

Q: dr. r² – 25

A: Given integral, ∫xx2-25dx

Q: Evaluate the integral, if it exists.

A: Given: An integral ∫03|x2-4|dx x2-4>0, for x≥2 x2-4<0 for x<2 Thus,…

Q: C. 6x³ +11x² - 4x -3/5 18x² +22x-4dx

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Q: (2г — 1) dr

A: Given ∫-132x-1dx

Q: Evaluate the improper integral or state that it is divergent. 12e-12x dx O Divergent O -1

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Q: evaluate the integral using the methods covered in the text so far.

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Q: (a) Find the integral of 6.x8 √21° +7 dx. **IDENTIA YAMIMATIO

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Q: (1) / : dr. x² + 4

A: For the first sub part we use the standard formulas for integration.

Q: Evaluate the integral, if it exists. If it does not exist then explain why. ' 10 x² – 4 -dx 2

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Q: Evaluate , (x + 3)/4 – x² dx by writing it as a sum of two integrals and interpreting one of those…

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Q: Evaluate the integrals. It may be necessary to use a substitution first. ∫ 3x2 + 4x + 4/x3 + x dx

A: Assume the given integral be I, Rewrite integral and simplify it…