Given |(-2x° + 3x – 3x° – 6)dx, evaluate the indefinite integral. Do not include +C in your answer. Provide your answer below:

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A: The objective is to evaluate: ; where a and b are positive constants.

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Q: Evaluate the integral. 17 dx 2 Vx² – 1 - NOTE: Enter the exact, fully simplified answer.

A: Let's find.

Q: 2. Use a substitution to change the integral into one found in the table of integrals, then…

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A: The given integral is: I=∫x2+2x-2x2-2x+2dx   We know that; ∫1ax+bdx=1alnax+b+C

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Q: Determine the following integrals (a). cos xsin.xdx (b) [- dx 17-5x+6 (c) fxe*dx

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Q: Evaluate the following integrals. Show the solution. 1. fcsc² (7x + 5) dx 2. x² sec (4x³ +9) dx dx…

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A: Given that, the integral is ∫15∫065y3+2x2+5dx dy. Note that, the formula for 2-point…

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Q: Evaluate the given integral using the substitution (or method) dx; u = . 7e +C Show My Work…

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Q: Use a substitution of the form u = ax + b to evaluate thefollowing indefinite integrals.∫(x + 1)12…

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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: Use the value of the first integral I to evaluate the two given integrals.

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Q: In Exercises , use a substitution to change the integral into one you can find in the table. Then…

A: 27. Given integral is, ∫x3+x+1x2+12dx.   It is integrated as follows:

Q: Use the indicated substitution to evaluate the integral.

A: Given:           ∫012x21−x2dx,  x=sinθ

Q: Evaluate the following indefinite integrals: +3.7 4. da 6. 12 sec 0 tan 0 d0 7.

A: Explanation of the answer is as follows

Q: Provide an appropriate response. Given fx) dx = 4 and g(x) dx = 2. use properties of definite…

A: We have to solve the integration

Q: Find the following indefinite integrals: 214 (a) 10z +16z da (b) f(V – 3") dr -

A: Integration: a) ∫x3+4x4+16xdxb) ∫(x73-3x)dx ∫(xn)dx=xn+1n+1+c∫axdx=axlogea+c

Q: Use substitution to evaluate the indefinite integral | cos³t sint dt. [Hide Solution] cosʻt + C 4

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Q: indicated

A: We have to calculate the indefinite integral using the given information

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Q: Evaluate the following integrals: i. Se- cos(20)de ii. dx Va+100

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Q: Given that x dx = b² – a² , use this result and the fact that cos(x) dx = 1, together with the…

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Q: state what method applies and how one applies it, but do not evaluate the integral:

A: Degree of the numerator =2 Degree of the denominator = 1 Since the degree of the numerator is more…

Q: use the indicated substitution to evaluate the integral.

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Q: Evaluate the integral. x² cos(3 x) dx =| + C

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Q: Give the appropriate trig sub that would be used to evaluate dx. Do NOT Vx² – 16 solve the integral.

A: Given:     ∫x3x2-16dx

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Q: Evaluate the integral. 4 – e2× dx = +C

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Q: Use the substitution x = 3 sin t to evaluate the integral f v9 – x² dx. - Note: Use C for an…

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Q: Evaluate the following definite integral. 2 fx²√x³ + 1dx 0 You may give your answer as either a…

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Q: Evaluate the definite integrals 36 a) Vi dt = ... ... 16 b) dz 3D ... ... 64 c) 返 dx = %3D

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Q: Evaluate the definite integral. '16 9e V x dx

A: Topic- Definite integration

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A: We will use simple Integration rules to solve this question.

Q: Evaluate the integral of sin 6 (x) dx from 0 to Tt/2. * 5п/32 2n/17 T/32 3Tt/32

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Q: Evaluate the following integrals. Show complete solution and your answer must be in simplified form.…

A: To Find :   ∫11+cosxdx

Q: Use substitution method to find the indefinite integral: ∫3x^2/(4+x^3)^6 dx. Answer in this form:…

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Q: By the even extension method applied to the function f(x)= e-16z, where a > 0, the value of the…

A: The given function is, f(x)=e-16x,x>0

Q: a° cos(x2) dx. (Hint: start by using an appropriate substitution.) T/2

A: Given,          ∫π2πx3cosx2dx

Q: When applying the u-substitution technique to this integral, we will need to exchange dx for du. 99…

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Q: 6. Sxe -3* dx хе

A: We solve the above integral using integral by parts which is given in step 2 .

Q: Refer to the definite integral to answer the following questions: 4 [*(16-x²) dx

A: This is a problem related to integration. Based on the general formula and concept we will answer…

Q: 27n 4 cos x sin x dx 7/3

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