Evaluate the indefinite integral. 3 16 +x2 dx (x² + 16) 48x + C

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A: Given indefinite integral is ∫x6·x7-53 dx                                    .....(1) Which can be…

Q: Bonus: Evaluate the integral  ∫ cos2 x dx

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Q: x²-x-8 /hat is the indefinite integral of dx ? (2х — 3 )(x? + 2x +

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Q: 5) Evaluate the definite integral 2:5 – 4:x? dr.

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Q: (3) Evaluate the definite integral i r8 x+x² dx.

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Q: b) ſe2x cos3x dx

A: To integrate∫e2xcos3xdx

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Q: a. Evaluate the integral ∫ (4x2 + 2x -1) / (x3 +x2)  dx b. Evaluate the integral ∫ x3  /…

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Q: 10. Evaluate the definite integrals by u-substitution. In5 Te(3-4e) de ( 2 cos 3x dx b. а.

A: a. ∫0π62 cos3x dxb. ∫0ln 5ex3-4ex dx

Q: |(x+3)°(x+b)d dx is In 3x2 +8x– 12 The resulting integral of + C, where a, b, d, and e are integers.…

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Q: Evaluating the improper integral gives the answer A) 3/4 B) -3/4 C) 1/4 D) -1/4 E) 2/3 F) -2/3

A: The integral can be solved by by-parts rule. The order of preference is according to ILATE. Here…

Q: (5.5) Evaluate the given integrals. Write answers in simplest form. 28.5 32x dx 1+32x

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Q: Hi, I was wondering how to do this and what the work would look like. thank you!

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Q: Find the indefinite integral. | 15 7 19 – 14 d t8 - dt

A: We have to solve the integral

Q: 3x2 dr by substitution, if u =x³+1 then what will be the resulting indefinite integral in terms of u…

A: Solved below

Q: dr: Consider the indefinite integral (x4 + 9)* This can be transformed into a basic integral by…

A: Here by using substitution we have to find following integral,

Q: |(x² + a) 5 5x The resulting integral of dx is In +eTan-1X + C, where a, b, d, and e are integers.…

A: Given:        ∫5xx3+x2+4x+4dx Apply linearity:     =5∫xx3+x2+4x+4dx Factor the denominator:…

Q: evaluate the integral 5 ∫ - 8 (5 is top of integral, - 8 is bottom) e ^ -0.02x dx

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Q: Q: Evaluate the following integrals: x' 16* - 25

A: Given∫x3168-25dx

Q: Evaluate the following indefinite integrals using U-Substitution. Thank you! 6. ∫ x3 (2-x2)12 dx

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: 4.1 Given ∫(−2x6+3x5−3x3−6)dx, evaluate the indefinite integral. Do not include +C in your answer.

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Q: 7.) Evaluate the following definite and indefinite integrals a.) ò (5-2x* -2x*-cos.x)dx +6x)dx b.)

A: Follow step 2

Q: 5. S,(x-4)(x2-8x – 1)3

A: Solving the given integral.

Q: evaluate the following definite integral: 5 ∫ 4 (5 is the top of the integral, 4 is the bottom of…

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Q: following integrals 3 a) Evaluate IT2-4xy+4y² dxdy=? 0, 0.

A: Given that the double integral To find evaluate the double integral

Q: x'dx vdu Using udv =uv The integral expression / can be evaluated using integration by parts of the…

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Q: 7 For the integral 3xVx + 6dx, if we use the substitution u = x + 6, we can rewrite the integral in…

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Q: 1 Evaluate the integral I+2/3 dr.

A: We have to find value of given indefinite Integration.

Q: Evaluate the definite integral. 3 1₁(x-41 4|x) dx

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Q: Evaluate the integral. -20e* – 42 e2x + 5ex + 6

A: To Determine: Evaluate the given integral

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Q: Evaluate the integral Select the correct answer. ( x + 6 In ( e* - 1 ) + C ○ 4x-31n (e*-1) + C 6x…

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Q: 4x3 The indefinite integral - x is: (x* + 1)? Select one: a. x4 x* +1 b. -2

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Q: 10. Evaluate the integral. 1+ x 1+ x2

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Q: Evaluate the integral 25 6)"dx - by making the substitution u = x -6. + C NOTE: Your answer should…

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Q: 2. 36 +x² dx =)

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Q: Evaluate the integral. *3 7 39+x² dx

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Q: 2. Evaluate the definite integral|z- 3| dr. (a) (b) (c) (d) 25 2 25 2 29 29

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Q: I need help with this problem. Thank you. Consider the indefinite integral ∫x2(x3+6)3…

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Q: Use the Change of Variables Formula to evaluate the definite integral. dx 3 (x2 + 2)° (Use symbolic…

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Q: Evaluate the definite integrals (give exact answers): 3 a) | (2x +3)(x – 5)dx 2 1 - (2³ – 2x² + 1)dx…

A: a) ∫23(2x+3)(x-5)dx ∫23(2x2 -10x +3x -15)dx ∫23 2x2 -7x -15)dx [2x3/3 -7x2/2 -15x ]23 18 - 63/2 -45…

Q: 6x Evaluate the indefinite integral. x4 + 1 + C

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Q: [V] Find the following indefinite integrals. Please don't forget "+ C". 66 1/2 (1) 1/2 + 1 1 x-1/2…

A: To evaluate the given indefinite integrals. 1). ∫x12+112·12x-12dx Solution: Let x12+1=t…

Q: 7 Suppose f(x)dx = - 3, f(x)dx = - 6, and g(x)dx = 3. Evaluate the following integrals. 2 2 2 g(x)dx…

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Q: 3. Evaluate the following integrals: x3+1 а. x3-3x2+2x

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Q: 3x2 dr by substitution, if 4 =x³+1 then what will be the resulting indefinite integral in terms of u…

A: Using Substitution,

Q: -4x – 3T Evaluate the definite integral -dx. Do not include +C in the answer. 4x Provide your answer…

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Q: 4tan -(x) 00 The integral dr is equal to 1+x² O A. 472. O B. 272. Oc. 2 O D. . E. None of the given…

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Q: 3. Evaluate definite integral a) se 3x

A: 3a)  Given: ∫1e13xdx To find: Evaluate the definite integral.