Use the appropriate substitution to evaluate the following integrals: 4x dr = ... 2x2 ·+C 1 3 -4(x² + 1) B ... +C (x² – 1)² .4 ln |æ| – 2x² + C ... 2 In |æ? – 1| +C ...

Q: [2². X V2+xd.c

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Q: S 16x (8x? – 1)³ dx 6x2 dx x3+8

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Q: Determine the following integrals. f x² In 2x dx Sx³√25+x²dx 2x+3 dx x²-6x-5

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Q: A fish tank initially contains 40 liters of pure water. Brine of constant, but unknown,…

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Q: tid Q3. Evaluate the following integrals 1) cothx.csch2x. dx (50-3x - √x+1+73 44x

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Q: Prove one of the following formulas from the table of integrals: S: √a²-x²2 a²x + C dx x²√a²-x²

A: Note :-Since you asked multiple questions , according to our policy we can solve only first question…

Q: 4- x² x2 dx

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Q: 4x3 – 3x dx 14 — 2л2 + 5

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Q: integral [x³√x² Evaluate the integral √x-2 dx.

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Q: Given |(-6x° – 4x + 5x – 3)dx, evaluate the indefinite integral. Do not include +C in your answer.

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Q: fco | cos 5xsin 5xdx

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Q: Use the substitution x = 7 sint to evaluate the integral ſ √49 – x² dx.

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Q: The value of the following integral is positive (a) True. (b) False. LL x√√x²+ y²dydx.

A: To determine whether the following statement is true or false.The value of the following integral is…

Q: Evaluate the following integral using the method of substitution. √ √₂- /2 + √x dx

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