Evaluate the integral /2 I = dx. Hint: If you need to evaluate ſe² dx, don't! Try a slightly different strategy.

Q: Compute the given approximation to the integral.

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Q: Answer the following integral related questions. -3 I = L,(3x² – 2x + 1) dx, evaluate I;

A: We know that ∫xndx=xn+1n+1+C, where C is the integration constant. We need to use this formula to…

Q: Find the value of this Multiple Integral. ,(x² + 3xy²) dx dy

A: Here we have to evaluate I=∫02∫0yx2+3xy2dxdy

Q: Use the indicated substitution to evaluate the integral.

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Q: ** Using the substitution y=x, the integral eln24 evx dx is the same as or equal to

A: Integration is summation of discrete data. The integral is calculated for the functions to find…

Q: use the indicated substitution to evaluate the integral.

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Q: Q5. Sketch, evaluate, and reverse the integral: lí dy dx,

A: 5. Given integral is ∫02∫1ex dy dx   To sketch, evaluate and reverse the integral.

Q: Evaluate the integral. 1 -dx J-3 (x + 6)(x² + 9) Answer:

A: Ans = 0.07456 First do the partial fraction so that it can be integrate simply as I have done in…

Q: Evaluate Cach integral. - 2x x? * dx e -st e dx, d) S. e e) * dx dx l020

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Q: et Evaluate the integral , -dx 3+ ez using the substitution u = 3+e². e* dx 3+ e* +C

A: Given that: ∫ex3+exdx

Q: Evaluate the integrals below: (-3) a) dx, b) cosy.eny. dx (xV(1 – (In4x³)² -2 -

A: in part b i integrate with respect to y because it is no sense of integrating with respect to x

Q: Q3/ Choose the correct answer to evaluate the following integral 1 dx I = 1 (1 – x+)Ź

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Q: Express the integral a.e •e²² dx in terms of the integral dx .

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Q: Express the integral in terms of the variable u, but do not evaluate it. dx; и — 5х — 4 NOTE: Enter…

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Q: Evaluate the following integrals using dx = -00 (a) 7xe- dx (b) 13 xe-X dx

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Q: Evaluate the integral below using 2 point Gauss-quadrature and compare your results with the exact…

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

Q: Express the integral in terms of the variable u, but do not evaluate it. e14x-13 dx; и — 14х — 13…

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Q: Evaluate 2 dx Using Simpson's 3/8 Rule,taking (h=0.2). Answer:0.80674

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Q: The value of the double integral 45 dx dy is – 1890 1890 945 945 -

A: Given that ∫03∫0745dx     dy find out the value

Q: Evaluate the following by changing the order of integration: 5 sin(y*) dy dx. 5x

A: First we change the order of integration and find limit of integration.

Q: For what values of a is each integral improper? Explain.

A: (a) consider the integral ∫a5dxx+2.

Q: - dx 5x² +3 c)

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Q: Q2: Calculate the area of the triangle using the following integrals 3 a) dx 6. 1.

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Q: Explain why the following integral is improper and then evaluate the integral. x2 2 dx Хе 8.

A: Here we use Fundamental theorem of calculus to solve the given integral.

Q: Use reduction formula to evaluate the given integral xe" dx

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Q: dx For the integral L ' (x-1)% which of the following options is correct?

A: Solve: ∫-121x-123dx

Q: Evaluate the integral: 2 x2 ) dx (23+1)? Input answer as decimal. Round off to 2 decimal places.

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Q: Evaluate V16-x² dx dx be? Explain Then, what would the value of the integral 1+V16-x 0.

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Q: To evaluate the integral dx, we substitute x = 2 sec 0. VAx-4 Select one: a. True b. None of these…

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Q: (1 – 3|x|) dx -2

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: The integral 1 dx x2 - 4 x + 4 ? If the integral is a number, enter the value in the blank below. If…

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Q: Q2: Evaluate the integral by integrating the equivalent reversed order: 13 e* dydx 1 e

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Q: Evaluate the integral. 2 11 dx x'Vx? NOTE: Enter the exact, fully simplified answer.

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Q: 1 dx ? %3D (x-1)3 8-

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Q: valuate the following integrals: dx (a) x² Vx² – 16 -

A: As per guidelines we have to solve one question

Q: 1 36* dx V6* + 3 2x dx x2 + 2x + 5

A: The given integrals are: ∫0136x6x+3dx and ∫2xx2+2x+5dx

Q: Evaluate the integral dx 11+ e* using the substitution u = 11 + e". e dx 11 + ea +C

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Q: Express the integral in terms of the variable u, but do not evaluate it. 3x-2 dx; u = 0, NOTE: Enter…

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Q: Use Simpson's to approximate the integral 2+x* dx, n=4.

A: The integral is ∫012+x4 dx, n=4

Q: Q3/ Choose the correct answer to evaluate the following integral dx = J。aーメ

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Q: Evaluate 4.x sin(y?) y3 dydx. Hint: reverse the order of integration

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Q: Q1: Find the value of the following integral | (1- x)3. ev dx

A: The given integral is: I=∫0∞ (1-x)3 ex dx

Q: 3 dx 2 (2 +

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: çin fxa-lex®dx dx 3?

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Q: Evaluate the integral. -2x dx 19 x e NOTE: Enter the exact answer.

A: Integrate it by parts.

Q: Compute the given integral. Enter your answer using exact values. fe-52 dx = +C

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Q: E va luate the integral dx using (x*+1)* re Sidues and any other method which Can be applied to…

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Q: Given the integral dx Зх-7 Use the technique that we went over in class to find "u", "u'", and "dx"

A: Given : ∫43x-7dx