Problem 1. Evaluate following definite integrals (apply properties if needed): (x² – 2x + 3) dx x299 dx (x³ – 2x + 3) dx -2

Q: Problem 2. Solve these integrals using integration by parts (6) loga(z)dr, (c) z¹In(√T)dz.

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Q: Problem 5 Evaluate the integral.  ∫((-14e^x)-60)/((e^2x)+(9e^x)+20)dx Answer=______________________…

A: Important integration for the question:

Q: Problem 17  Evaluate the definite integral.  ∫(1/sqrt(289+x^2))dx=__________________ (upper…

A: Consider the given integral.

Q: Problem 19. 78 ain Evaluate the definite integral. -5 √5x + 3 dx =

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Q: PROBLEMS 1. Evaluate the following integrals (consider = 4x2 (b) dx (c) | sin 3x dx for+s (d) (3x +…

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Q: Problem 7. Using properties of definite integrals. Given: 8. f(x)dx = 12 | g(x)dx = 5. and 4 4…

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Q: Problem 15  Evaluate the integral.  ∫(4x+0)/((x^2)-2x+10)dx Answer=________________ +C

A: Given

Q: Problem 3. Solve below definite integrals b) [3te (b) 3tet²+1dt, In(x) 23 ©f! -dz, (d) TH In(x) dr.…

A: ∫ eu du = eu +C Note : As per our Guidelines , we can solve first question as your parts is not too…

Q: Problem 16  Evaluate the given indefinite integral.  ∫(4)/(3√x) - 4(3√(x^2))dx=    (3√x)= The cube…

A: The given integral is

Q: Solve the following Problems: (a) e(sinh x dx + cosh x dy) = 0

A: We need to solve  ey(sinhxdx+coshxdy)=0 The explanation is given below.

Q: In Problems 6 and 7, evaluate the definite integrals correct to 4 significant figures. x2 – 3x +6 dr…

A: Since you have posted a multiple  question according to guildlines I will solve first  (Q6)…

Q: Problem 3. Solve below definite integrals f (d) In(r) I dr.

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Q: Problem 12 Evaluate the indefinite integral.  ∫e^(7x)sin(6x)dx=_________________ +C

A: We will need by parts , so assume u and dv. Then find du and v

Q: Problem 1 Use integration by parts to evaluate the integral.  ∫5x sin(x)dx= _____________ +C

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Q: In Problems 31-42, calculate the definite integral by referring to the figure with the indicated…

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Q: Problem 9  Evaluate the definite integral  ∫ ((10x^2)+7)/( sqrt(x)) dx Upper limit of integration=5…

A: The given integral is

Q: Problem 14 Evaluate the indefinite integral.  ∫(x+4)/((x^2)+8x+17)dx Answer: _________________ +C

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Q: Problem 5  Find the integral.  ∫x^(8)ln(x)dx= _____________________ +C

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Q: Problem 4  Evaluate the indefinite integral.  ∫x^(2)e^(5x)dx=______________ +C

A: Given integral is Integrating by parts, we get

Q: EXAMPLE 7 If it is known that F(x) dx = 14 and f(x) dx = 9, find F(x) dx- SOLUTION By a property of…

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Q: Problem 1: Indicate the appropriate trigonometric substitution that you should use to evaluate the…

A: 1.        ∫4x2+2x+17dx = ∫4x2+2x+1+16 dx                                            =∫ 4(x+1)2+16…

Q: in Problems 43-54, calculate the definite integral, given that 61 x dx 3 x dx = 7.5 x² dx = 21 %3D

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Q: Problem 1. Use integration by parts to solve the following integrals (a) Sxe"dx (b) Sx cos(5x)dx (c)…

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Q: Solve the following Problems: (a) e"(sinh x dx + cosh x dy) = 0

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Q: Problem 1: Evaluate the following definite integrals. Sx(x2 + 1)V4- 2x2 – x dx -dx

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Q: Problem 7 Use integration by parts to evaluate the integral.  ∫ (upper limit=7, lower limit=1)…

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Q: In Problems 31-42, calculate the definite integral by referring to the figure with the indicated…

A: We need to evaluate ∫acfxdx.

Q: Problem 8  Evaluate the definite integral  ∫ ((12x^2)-2x+2)dx Upper limit of integration= 7 Lower…

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Q: Problem 12 Evaluate the integral  ∫= (9)/(1+x^2) dx Upper limit of integration=sqrt(9)  Lower limit…

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Q: 5x2 - 30x+44 dr (x- 2)3 2. In Problems 3 and 4, evaluate the definite integrals

A: Here I am attaching image so that you understand each and every step.

Q: Problem 18  Evaluate the indefinite integral.  ∫((14sqrt(x^2-16)/x)dx=__________________ +C

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Q: Problem 1. Solve these integrals using substitution (a) x(x-2)³ dx, (b) text² di dt.

A: The given integrals:a∫xx-25dxb∫te3t2dtWe will solve them using substitution.

Q: Problem 10  Evaluate the indefinite integral. ∫(-8)/((x^2)+16x+64)dx=

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Q: Problem 20. Evaluate the definite integral: d.x Væ – x²°

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Q: Problem 21 Evaluate the indefinite integral.  ∫1/((x^2)sqrt(1-x^2))dx=_______________ +C

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Q: Problem 3 Evaluate the following integral using integration by parts (and show your work): Sa³…

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Q: Problem 6  Evaluate the indefinite integral.  ∫((x^3)+31)/((x^2)+7x+12)dx Answer=_______________ +C

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Q: Problem 20  Evaluate the definite integral:  ∫ |x-4x^2|dx=  Upper limit of integration=5 Lower limit…

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Q: Problem 12 Find the following indefinite integrals (a) S(9x² + 8x +3)dr (b) S(x-4 – 9/I)dr (c)…

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Q: Problem 18 Evaluate the given indefinite integral.  ∫ (3-5x(e^x))/(x)dx=

A: The given integral is

Q: Problem #4: Evaluate the following integrals by interpreting them in terms of areas. (a) 11 |x - 8|…

A: Problem-4 (a)

Q: Problem 1 Apply trapezoidal and Simpson's rules to the integral 1 1-x dx continually halving the…

A: We have f(x) = y = (1-x2)1/2, using this, we can form the table for f(x) with the corresponding…

Q: Problem 3. Solve below definite integrals In(x) (a) fate" dt. (6) fated. (c)(3) dz. 3te5tdt, 31…

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Q: Problem 8, Use the definition of the definite integral to evaluate the f lowing: 1. (2x – 1)dx . -…

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Q: Problem 2 Evaluate the integrals. (a) •1//2 4 dx 1/2 (b) V3/4 dx 1+16x2 (c) | tanh (x) dx (d)

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Q: Problem 3 Evaluate the indefinite integral.  ∫(1/((x-3)(x+2)))dx  Answer=_________________ +C

A: Given integral is We will use the method of partial fraction to evaluate the integral Let us…

Q: Problem 14 Evaluate the indefinite integral  ∫2(e^x)dx

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Q: (10) Į dx 2x +7x – 4 .2 (11) ſx²e* 2-5x хе dx T/2 (12) | x sin x cos x dx X

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Q: Problem 11 Evaluate the definite integral  ∫ 8sec^2(x) dx Upper limit of integration= 1.2 Lower…

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