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

Q: Calculate this integral a Sat-x? 3/2 x²+y²)¯ dy dx -a

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Q: Evaluate the integral, if it exists.  ∫01 y2 √(y3 + 1) dy

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Q: et dx e – 2e*

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Q: Evaluating the integral f In(r³)dx, where x > 0 yields:

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Q: r? + I dx

A: NOTE: Refresh your page if you can't see any equations. . ................(1) substitute…

Q: Evaluate the integral by making the given substitution. Sx x +2 dx, u = x³ +2

A: The given integrand is  x2 (x3+2)1/2

Q: sec(2x) tan(2.x)dx

A: We will find out the required value.

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: Evaluate the integral , f(x) dx, where 3 — х3, х 1

A: Given a piecewise function We need to find integral from x=-2 to 3

Q: Evaluate the integral :(x² + y* )dzc>xcy = ?

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Q: Evaluate the integral by making the given substitution. + 20 dx, u = x³ + 2o

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: Evaluate the integral, if it exists.  ∫01 y (y2  + 1)5 dy

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Q: 4 dx, u= 1 + 2x (1 + 2x)

A: Explanation: Given that: ∫41+2x3dx,      u=1+2x Concept: 1. ∫xndx=1n+1xn+1+C Calculation: First…

Q: Use the substitution formula to evaluate the integral. S'ia dx (Hint: simplify first) 1 2 11 22

A: Solve the following

Q: Express the integral in terms of the variable u, but do not evaluate it. In x dx; u = In x e2 In x…

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Q: Evaluate the integral by making the given substitution.   ∫ Sinπ x dx , u =π x

A: Given integral is We will use the following substitution to evaluate the integral.

Q: V2y? – 3 dy y?

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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: Express the integral in terms of the variable u, but do not evaluate it. el0 In x dx; = In x U = e5…

A: We need to express integral in terms of u.

Q: -dx is an improper integral. A) True B) False

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Q: Evaluate the integral by using the substitution u = 1 + e*. 1 – e* %3D dx 1+ e*

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Q: 2 Væ? – 1 -dx. x² 1

A: Here , we will solve the integral using substitution form .

Q: Express the integral in terms of the variable u, but do not evaluate it. relo In x dx; u = In x es…

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Q: Evaluate the integral by making the given substitution.   ∫ x2  √( x3  + 1)    dx , u =  x3   +1

A: The integral formula to be used are: ∫xn dx=xn+1n+1+C, where C is an integral constant. The integral…

Q: cosx dx Vsin? x-2sinx-3

A: SOLUTION-

Q: Express the integral in terms of the variable u, but do not evaluate it. In x dx; u = In x re23 In x…

A: Topic:- integration

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

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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: rect answer to evaluate the following integral dx 1 I (1 – x4)Z

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Q: Express the integral in terms of the variable u, but do not evaluate it. ne25 In x dx; u = In x re25…

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Q: y=0 x=y ye dxdy=

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Q: Evaluate the integral. a dx 2 a > 0 (a² + x²)3/2' V2 92

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

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Q: Express the integral in terms of the variable u, but do not evaluate it. e14 In x dx; u = In x e…

A: Express the integral in terms of the variable u.

Q: Evaluate the integral.

A: To evaluate: ∫dxx2-4x Given integral can be re-written as: ∫dxx2-4x=∫1x2-4x+4-4dx=∫1x-22-22dx We…

Q: Which of the following is not an improper integral? dx a2+9 dx (x-2) dx O J3 3-2x-a² O 7 tan æda So

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Q: S. The integral dx is improper integral. True O False

A: Given: ∫01xxdx

Q: Calculate the following integrals. (०) / जरेगार dx dr (b) */4+(In r)?

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Q: O Evaluate the integrals Jscx+y+2?s da dy dx-

A: according to the guidelines we should have been able to do only one question at a time #1-a

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

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Q: Evaluate the integral.

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Q: -dx is an improper integral. A True B) False

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Q: Evaluate the integral , xy dx dy 0.

A: Here we will integrate function w.r.t. x first then w.r.t. y

Q: Evaluate the integral by making the given substitution. (5x)tan(5x)dx, u = 5x + C

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Q: The integral o So e a dxdy is equal to

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Q: Evaluate the improper integral or show that it diverges: 00 (a) xe dx 7/2 (b) tan x dx

A: a) ∫0∞xe-xdxb) ∫0π2tanx dx

Q: Use the Method of Substitution to find the indefinite integrals: t3et“ dt dx x VIn x

A: The given integral,a) ∫t3 et4 dtb) ∫9xln x4dx