dx 29. x(x – 1)3

Q: xe¯*dx Evaluate the improper integral: 1

A: The given question is taken from the calculus in which we have to find the value of the given…

Q: Evaluate the.integral (x+y+2 dz olyde

A: Evaluate the given integral as follows. ∫01∫01∫01x2+y2+z2 dz dy dx=∫01∫01∫01x2+y2+z2 dz dy…

Q: dx x/x² – 9 J3 .2

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Q: 6 (x²+1) dx S (23+3x-2)²

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Q: Q:: Find the integral for the following functions: - r6 dx 1). 2 x+2 2) S 3co t(x). csc²(x) dx 3)…

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Q: Evaluate the integral. NOTE: Enter the exact answer. dy dx = (xy + 1)²

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Q: Evaluate the integral. NOTE: Enter the exact answer. dy dx (xy + 1)²

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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: Q: Find the integral for the following functions: 2) S In(es*)dx

A: Ln(e^x) = x

Q: Q3:A Evaluate the following integrals: 1- Jz sin? x dx 2- S f(x)dx dx 3- 118

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Q: Evaluate the integral f [[ - Y sin(x²)dxdy.

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Q: 3 9-x 1 dy dx dz V9-2? (x² + y²)1/2 3

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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: Sx²e2x*dx `x²e?

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: (c) Calculate the following integral: f(x) dx

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Q: xe*dx 5. Evaluate the improper integral:

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Q: S 2x. e*dx а. 4 3 b. J 20(2x + 1) dx

A: Part(a): Let the given integration is, I=∫2x.exdx

Q: evaluate the integral: r^x/-5+r^x dx

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Q: Evaluate the integral. NOTE: Enter the exact answer. dy dx Jo (xy+ 1)²

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Q: Evaluate the integral. NOTE: Enter the exact answer. dy dx (xy + 1)

A: We need to evaluate the integral- ∫04∫01x(xy+1)2dydx Here integral is with respect to both x and y.…

Q: x dx Evaluate the improper integral by using a suitable substitution. x4 + 49

A: To evaluate the improper integral by the suitable substitution.

Q: 11 dx x2 +4 Evaluate the improper integral:

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Q: Evaluate the integral 11-x²4-x²-y !!! 0 3 x dz dy.dx.

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Q: dx a proper or improper integral? Why? (x-3)? .3 Is So 1

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Q: Find the integrals below. а) / 5x dx b) S x2-3x + 2 dx X+1 dx c) S

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Q: (뚜 - 굶) da 3x Evaluate the integral J (* – 3) dx.

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

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Q: Evaluate the integral with the order reversed. dx dy -2 0

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

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Q: dx Væ(x+1)

A: Let I=∫14dxxx+1. Put x=t2 and differentiate it with respect to x. ddxx=ddxt21=2tdtdxdx=2tdt

Q: y'e* P.

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Q: S. e* dx

A: Given: The integral is  ∫0+∞e-xdx   To determine: The value of the integral ∫0+∞e-xdx

Q: Evaluate the integral x(x – 5)7/2 dx by making the substitution u = x – 5.

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Q: A. Evaluate the following integrals by substitution. 1. Sx(2x? + 3)®dx

A: Put (2x2+3)= t  Differentiating both sides  4x dx= dt

Q: Evaluate the integral.   ∫0 1/2Cos -1 x dx

A: ∫cos-1x dx=∫cos-1x·1 dx=cos-1x·∫1 dx-∫dcos-1xdx·∫1 dx dx=cos-1x·x-∫-11-x2·x dx=x cos-1x+∫x1-x2 dx…

Q: E 3y dx dy Evaluate the integral

A: Consider the given integral  ∫01∫-1-y21-y2 3y dxdy

Q: r+∞ e dx - dx x ln x

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Q: Find the indifinite integral. 2x +1) ex²+x dx

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Q: Q13. The value of 1 when D) = D Ls (b)0 () (d) None of these tinular integral of 4+y=x²Ls

A: Given- fD=Dn To Find- The value of 1fD·1

Q: Q15. Evaluate the integrals 1. (x² + y² + z?) dz dy dx

A: We have to evaluate the integral.

Q: Evaluate the integral. /x + c dx

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Q: Evaluate the integral f 9(√x² + y²) dxdy.

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Q: dx. ot Find the indefinite integral x4 = xp

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Q: 2 dx. x? +1 34. Evaluate the improper integral

A: Use limit method

Q: Evaluate the integral m(x) dx x2

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Q: x dx xª + 49 Evaluate the improper integral by using a suitable substitution.

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Q: 1 dx. x+ v1+x

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Q: Evaluate/Find the following integrals. SxVAx - x'dx 2 1. x dx

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Q: e the integral. dx

A: