Evaluate the indefinite integral. 8x7 dx (28 + 1)² + C

Q: Evaluate the indefinite integral given below using the indicated substitution. 1-20 -2(-2x + 9)³ dx…

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Q: Evaluate the integrals

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Q: Evaluate the definite integral ax -dx, where a=9, b=1 and c=7. Write your b+cx2 answer up to two…

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Q: Consider the indefinite integral  ∫x6 • 3√x7-5 dx This can be transformed into a basic integral by…

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

Q: (Sy?-8X46) dx =?

A: We need to evaluate ∫045x2-8x+6dx

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

A: Evaluate the indefinite integral as follows.

Q: Evaluate/Find the following integrals. 3 + 13 2. S 8x 4x + 8x -dx- 3 + x + 2

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

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Q: Evaluate the integral: 36 x dx + C

A: According to question given that ∫x336-x2 dx

Q: Find f 6x dx? А. х2 + с В. 2х2 + с c. +c D. Зx2 + C

A: This is a problem of indefinite integral. Based on the general formula we will answer the question.

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

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Q: 3 In 3x Evaluate the definite integral : dx 6x2 Answer:

A: To evaluate the given definite integral

Q: Evaluate the following indefinite integral fa-9/2 dx +C

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Q: Given ∫(4x5−3x4−x2−2)dx, evaluate the indefinite integral. Do not include +C in your answer.

A: Given ∫4x5-3x4-x2-2dx

Q: 2. x dx (x2 - 2)3

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Q: Evaluate the integral for x > 1/2: x2 64x2 – 16 dx = (No Response)

A: Then let us assume

Q: Given ∫(−6x5 +5x3 +1)dx, evaluate the indefinite integral. Do not include +C in your answer.

A: To calculate the indefinite integral of the expression -6x5+5x3+1. To integrate the provided…

Q: xcos(2x² + 7)dx

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Q: Evaluate the integral. •3 dx x4/x² + 3 NOTE: Enter the exact answer.

A: Explanation of the answer is as follows

Q: Evaluate the integral ? e1/x dx x2

A: we have to integrate by using substitute method

Q: 5 ['s (Use symbolic notation and fractions where needed.) Calculate the integral, assuming that 5…

A: The objective is to find the integral.

Q: 4x3 – 3x dx 14 — 2л2 + 5

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Q: Evaluate the following integrals 3. 3x a) (x2 - 4)? 21 dx 4 b) (3х — 2)4 dx

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Q: Evaluate the following integral. Enter an exact answer. •3 4 3 dx x3

A: Topic = Integration As per guidelines , At a time only one question can be answered,

Q: 2) Evaluate the integral and check your answer by differentiating. dx b) Jx"(2-x)° dx

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Q: Evaluate the definite integrals 6. a) | (9x? – 10x – 6) dx = %3D 4 b) (x + 3)² dx = 3 c) (x³ – x* )…

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Q: Evaluate the following integral, ignoring the additive constant. Your solution will be in the form…

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Q: Which of the following integrals is equal to the integral f(3x- 5) dr? -2 7/3 f(2) dz |dz 7/3

A: We have to change the integral limits by substution.

Q: Which of the following integrals is equal to the integral f(3x-5) dr? (A B) 3 7/3 © I s(:) dz 7/3

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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: 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: 10) Evaluate the following integrals: 7x6+3 a) dx x2

A: ∫xndx =xn+1n+1+C

Q: 3. Given ∫(x5−3x4+6x3+3)dx, evaluate the indefinite integral. Do not include +C in your answer.

A: The given integral is ∫ (x5 -3x4 +6x3 + 3) dx.obtain the integral value as follows.

Q: A. Evaluate the integral of the follo x+4 1. dx

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Find the integral 52? + 3х — 2 dx +C x3 + 2x?

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Q: Evaluate the indefinite integral. Type pi if you need n in the answer. x7/2 4x5/2 - 1) dx = +

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Q: Let a, b, and C be a constant, verify the following indefinite integral. IVa+bx dx 2 (3bx – 2a)(a +…

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Q: Consider the indefinite integral a · Vx² – 5 dæ: This can be transformed into a basic integral by…

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Q: (a) Evaluate the following integrals: x² + x – 7 dx x² – x – 6 (i)

A: Given :   ∫x2+x-7x2-x-6dx

Q: Evaluate the integralS, V1 – x² dx. Note: Retain T and any fractions in your answer if applicable.

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Q: Find as many integrals as you can using the formulas and techniques you have studied.…

A: (a) part Consider the given integral ∫dxxx2-1 Use the substitution method to find the integral…

Q: Determine the integral by making an appropriate substitution. Sx-17 dx O 1 X). (x- O_ 1 + C 16(x -…

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Q: Evaluate the integral: 6/ x² dx + C

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Q: Evaluate the indefinite integral. fa* /12 + a*dæ + C

A: We need to evaluate ∫ x412+x5dx. So,            ∫ x412+x5dxLet…

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: dx (6-х?)3/2

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Q: 13x? + 17 I( 2x+1)(x² + 4 dx What is the indefinite integral of

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Q: 4. Evaluate the integrals. Simplify your answers. 3x+5 dx x+9 е.

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Q: Evaluate the integral, if possible. (Hint: use the table of integrals and substitution)

A: Use the properties of indefinite integral to simplify.Let w = x^4.Calculate dw and simplify using…

Q: 3. S: (х2+2)2 dx

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