/ Evatuate integrals t 16 dx 2x VLAX 6 dx 4-25Y 2-

Q: Evaluate the integral by reversing the order of integration. V3n V3 cos(4x2) dx dy

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Q: / 1 – x2 dx (c)

A: Given I = ∫1-x2x3dx    ......... (1) Integration by parts ∫u(x).v(x)dx = u(x)∫v(x)dx…

Q: Use integration tables to find or evaluate the integral.

A: We have to evaluate the following integral: ∫xx2+4x+8dx

Q: Use order of h® Romberg integration to evaluate xe2x dx

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Q: Eualuate Integral S3x+2 VT-25x?

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Q: Use changing order of integration technique to compute eut dy dr

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Q: In x x dx

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Q: 7. Change the order of integrations to find iterated integral (dydx. 2

A: Given that, integral, According to the limits of integration of the given integral, the region of…

Q: evaluate the incdesinite integral -5x+3)dx

A: See the details solution below

Q: |x| dx 1 X V1– x² -1

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Q: Use double integral to find the average temperature of T(x. y) = 10-8r -2y

A: Temperature function is given as - Tx, y = 10-8x2-2y2Average temperature = ∬10-8x2-2y2dxdyGiven…

Q: Please use excel. Determine the approximate integration using simple and modified trapezoidal, 1/3…

A: simple Trapezoidal rule : The trapezoidal rule works by approximating the region under the graph of…

Q: Simplify down to a single integral in terms of . .3 /9-x² 63–42²–4z² Volume = 1 dy dz dx = Σ da.…

A: ∫-33∫-9-x29-x2y3x2+3z263-4x2-4z2dzdx

Q: 1. Evalute the improper integral 3x dx. 1+ x2

A: Given: ∫-1∞3x1+x2dxTo evaluate the improper integral:

Q: Evaluate the integral dx (x + 1)(x² + 1) Sz

A: The integrand can be written as:…

Q: Use any method to evaluate the integral. 20 dx (100x2 + 1) 2 20 dx (100x2 + 1) 2

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Q: Evaluate the integral. 1//3 3earctan(y) dy -V3 1 + y2

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Q: 3 4 Sx-3 dx x2+8x+41 (x+2)2 x2+9

A: Given,          ∫2x-3+3x+22+4x2+9+5x2+8x+41dx

Q: Use the 4_segment trapezoidal Rule to numerically integrate. S(0.2 + 25x + 3x²) dx

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Q: .2 What is the reversed order of integration of 1 dxdy? a. II Vx* +1 dydx 0, O b. x4 +1 dydx 0, .8…

A: Topic:- application of integration

Q: x² +1 dx (3x+1) 2. Evaluate

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Q: Evaluate the double integral : (y – 10x) dr dy

A: To evaluate the given double integral.

Q: Is the integral of 2x wrt x equal to 2x^(1+1)/(1+1)?

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Q: x2 b) dx Væ³ + 1

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Q: calculate the integral.

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Q: Find the indefinit integral of (3-2x)2 dx

A: Given ∫3-2x2 dx

Q: Find the complete integral of 1 az z dx, 1 dz z dxz 1 dz =x1 x2 X3. z dxz

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Q: Evaluate the integrals: 1. 2. -2 dx 0 8+2x² x+3 2x3-8x S - dx

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Q: Evaluate the integral ∫(5x -1)2 dx by two methods: first square and integrate, then let u = 5x - 1.

A: To evaluate the integral ∫5x-12dx

Q: Use any method to evaluate the integral. 3 x*dx 2 Vx + 25 3 x*dx S- 2 Vx +25

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Q: Use integration by parts to evaluate the integral. 2x In(4x) dx +C

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Q: Calculate the indefinite integral S (2Vx3+3)(2Vx3 – 3) dx

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Q: Vx - 2 dx

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Q: Express f, 4xyz dV , where E = [0,1] × [0,2] × [0,3] by using different orders of integration. Hence…

A: To find the value of the integral

Q: fxcsc² x dx

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Q: Evaluate the integrals below: etanx sec² x 3. a) V(1 – (elanx )2 :. dx, b) / cot5x. dy

A: We need to integrate of the following integrals.

Q: Calculate the double integral. SSR 6x / 1+xy dA, R = [0, 6] × [0, 1]

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Q: et dz V1-e2x

A: Given problem:-

Q: Evaluate the integral S - dx V16-x2

A: Evaluate the integral of the integrand  x2/√(x2-16) .

Q: Use the general power rule for integration to find the indefinite integral. a)∫10x/(√5x2+13) dx…

A: a) The general power rule of integration is of the form ∫fxnf'xdx=fxn+1n+1+c   Let fx=5x2+13. So…

Q: Use any method to evaluate the integrals ∫ x4 - 1/x5 - 5x + 1 dx

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Q: Evaluate the integrals.

A: Evaluate, ∫22dxxx2-1dx

Q: Use integration by parts to evaluate the integral: 4xcos(-5x)dx

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Q: J1/4 Jx2

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Q: dx V1-x -1

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Q: Calculate the integral .2. dx V1+4Vx

A: The given integral can be rewritten by taking substitution.

Q: *show work*

A: Assume u=2+5sqrt(x)Find du

Q: V7y2 - 11 dy y2

A: Given : ∫7y2-11y2dy

Q: Use integration by parts to evaluate the integral. ∫xe^4x dx

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