(a) Evalate the integral||xydy dx. 12

Q: 2. xy dx dy

A: While integrating wrt 'x' we will keep 'y' as constant. While integrating wrt 'y' we will keep 'x'…

Q: Evaluate the double integral. LL. 3 (x² – xy2) dy dx -3

A: first, we integrate with respect to y

Q: Find the value of the constant C for which the integral 3 3C dx x + 25 X + 5 converges. C =

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Q: Find the integral of (e^x - 1)/(e^x + 1) dx.

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Q: Q4 Evaluate the double integrals: [(x + + y+1)dxdy

A: Value of the giveen integral is

Q: -1-y 3) Evaluate the integral dxdzdy?

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Q: 2. Compute the indefinite integral xe dx

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Q: (x + y) dx dy Jo Jy/2

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Q: QUESTION 6 Write an equivalent double integral with the order of integration reversed. In x Sx dy dx…

A: I have draw the digram and reversed the direction of limit of integration

Q: valuate the indefinite integral. 7 dt (t + 1)?

A: Given query is to eveluate the integral.

Q: 1. Evaluate the ff. integral f, (5x6 + 3x³ + 6)dx ·1

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Q: Evaluate the integral. HINT: 3 x2 dx J2 x - 1

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Q: Evaluate the double integral. y dy dx O - 3x

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Q: 24. Evaluate the integral: ," dy y2+2y-3

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Q: x-3 dx r³+9x +9.x

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Q: 18x? Evaluate the integral: -dx V49 – x2 -

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Q: 2 4 Q3) Evaluate the integral || xe" dy dx 0 x?

A: LetI=∫02∫x24xey2dydxchange the orderI=∫04∫0yxey2dxdyLet∫0yxey2dx=x∫0yey2dx∫0yxey2dx=ey2[x22]0y…

Q: Evaluate the double integral 2. dy dx 3/x

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Q: -1 2x Evaluate the integral dx = 0 x*+1

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Q: 1. Evaluate S(x + y)dxdy by reversing the order of integration.

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Q: Q2:A/ Evaluate the integrals sec (1 + ex) tan (1 + e'/x) dx

A: Integral

Q: The improper integral J dx converges to x-5 4 о попе 1

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Q: So S(x + 3) dy dx 3. Evaluate the double integral:

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Q: iSy dx dy 3.

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Q: a) [ Evaluate the integral 4x - 1 (x + 2)(2x - 1) S -dx.

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Q: e*dx e2x +1

A: We know that; ∫axdx=axlna+C And ddxcot-1x=-11+x2   Given: I=∫7cot-1exexdxe2x+1   ....1

Q: 2e Evaluate the integral dx 2x +3

A:

Q: Solve the integral: dy dx. x2 H/4

A: To solve: The integral ∫141∫x2xxydydx. Formula used: ∫xndx=xn+1n+1+C Here, C is constant of…

Q: Q/5 Evaluate the integral of: (a) St³et* dt dx (b) 2 x (In x)²

A: We have to evaluate the integral. Using the substitution method we can solve these questions.…

Q: Estimate the errors in the approximations for T10 and M10 of the integral from 1 to 2 of e1/x dx,…

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Q: 11:32 E O 1 Evaluating the integral f In(x)dx, where x> 0 yields:

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Q: 39.: * Compute the integral: x (Inx) dx. a. (5e –1) b. (3e -1) c. (e +2) d. (5e -e') (e* -e) 32 16…

A: Use by parts integration

Q: The value of the improper integral, if exists: S. 12 x e-a dx 1

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Q: Q2) Evaluate the integral x3 dx 3 a *0.

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Q: Q4 Evaluate the double integrals: ||x+y+1)dxdy

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Q: 4.) Evaleuate the integrali Jóxarcsin(5a)dx

A: ∫fg'=fg-∫f'gAnd ∫sinnxdx=n-1n∫sinn-2xdx-cosxsinn-1xnsee below the answer and calculation

Q: 0 1 Q3:Evaluate the integrals [(x+y+1) dx dy -1-1

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Q: 57 Evaluate the integral |[xy dy dx. 12

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Q: Suppose we perform the substitution u=1+Vx in the integral dx . (1+Vx)5 What is the resulting…

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Q: 3 Evaluate the improper integral :S e2 dx

A: e-198

Q: 6. Evaluate the integral. x³e2x dx

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Q: 27. For what value or values of a does ах |dx 2x x² + 1 converge? Evaluate the corresponding…

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Q: Evaluate the integral: e3+ cosh2x33+cosh2xsinh2x dx A (3e)3+ sinh2x 21n3 + C (3e)3+cosh2x B 2ln3…

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Q: Evaluate the integral. In 2 ey dx dy

A: Explanation of the answer is as follows

Q: 9. Evaluate the integrals. dx dx b. Siya Jã(1+x) 1/3

A: The integral function is ∫131dxx1+x

Q: 4) Evalvate the integral E 4 1+x² dx

A:

Q: 46) Estimate the minimum number of subintervals needed to approximate the integral T/2 6 sin x dx…

A: Find the minimum number of Subintervals.

Q: Calculate the integral approximation S6 for 2 2-a" dx. 1 S6

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Q: Q1\ Evaluate the integrals: 10 A. S- V16+x2 В. Г(3 — 2х)-5 dx

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Q: Find a particular integral for d^2y/dx^2+dy/dx= sin x

A: