The improper integral 5dx is V1-x?

Q: 7x2 V2x3 - 1 dx .2.

A:

Q: Evaluate the integral, if it exists.  ∫Csc2 (3t) dt

A: ∫ cosec23tdtLet 3t=θ⇒ddt3t=dθdt3=dθdt⇒dt=dθ3-1

Q: Evaluate the integral or show that it is divergent.

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Q: 5. Determine if the integral is conve 0. exdx -1/2 V1-e 2x

A: Given query is to find integral converges or diverges.

Q: 1 dɔ V9-x² 3

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Q: Evaluate the improper integral

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Q: Evaluate the integrals ∫csch2 (5 - x) dx

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Q: Evaluate the integral. S- V1- xp

A: ∫un du =un+1n+1+C

Q: Evaluate the integrals in ∫2ln x/x dx

A: Now put,

Q: Evaluate the integral. '3 8- In(x) dx x2

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Q: 1= [3y/7-3y° dy

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Q: Evaluate the integral

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Q: Evaluate the integral. (x6 + 4y³) dy

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Q: Evaluate the integral. zp zul s)

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Q: u. x + 3 2x³ - 8x -dx

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Q: Evaluate the integral v22 -6x? dx V1- x2

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Q: 1. S V16 – 4x²dx

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Q: Evaluate the integral 1 / / emax{x²,v²} dydx

A: integral of  ∫01∫01emax {x2,y2}dydx

Q: Evaluate the integral.

A: Let the given intergral be y -y = ∫01r34+r2dry = ∫01r24+r2 r drLet,x = r2Diffrentiating with respect…

Q: -Зх сos 2x dx

A: Using Integration by-parts

Q: dx (x + 2)3

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Q: Evaluate the integral dx ,2 2x x - 3x X

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Q: Evaluate the integral J (Sx + 3x - 7* + 2)dx.

A: To solve the following integral

Q: The improper integral 2dx is 1-x2 0.

A: π

Q: Evaluate the integral. 5x In(x) dx:

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Q: Consider the integral 2 6z² In(z) dz

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Q: Use the Trapezoidal Rule to evaluate the integral fx-¹dx. 1 2|3 NIC 34 2

A: We have to evaluate the integral ∫12x−1dx by using the trapezoidal rule. Here, a=1 and b=2 And…

Q: | 7x2 V2x3 - 1 dx

A: Here the given integration I=∫7x22x3-1dxNow Substitute as2x3-1 =u⇒6x2dx=duThus the integration…

Q: Evaluate the improper integral : S 4x³e¬9*, dx

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Q: Evaluate the integral. inegral  ax / (x2 - bx ) dx

A: Consider the given integration as I=∫axx2-bxdx⇒I=∫ax-bdx

Q: The improper integral fx dx is

A: An improper integral is the limit of a definite integral as an endpoint of the interval of…

Q: Calculate the integral ∫6e^xdx

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Q: Evaluate the improper integral. ∞ ∫dx/((x^2) − 1) 2

A: Given improper Integral

Q: Evaluate the integral. Vx dx 4

A: We have to integrate the given expression over the given interval. Here we use standard formula for…

Q: Evaluate the integral

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Q: Evaluate the integral. S- dx 8 =, x> 7 V49x2 - 64

A: Solution-

Q: Use the Trapezoidal Rule to evaluate the integral S |r| x²dx O 2 O -2 O 1 -1

A: Given Intergral ∫-11xx2dx. We have to find the value of it by using the Trapezoidal Rule. The…

Q: Evaluate the integral. (x8 + 6y5) dy

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Q: Evaluate the integrals by subs;tu;on dp- V5+x c)

A: ∫-14x5+x dx

Q: Use the indicated entry in the Table of Integrals to evaluate the integral. 2 9V 4x2 – 3 dx; entry…

A: Solve, as follows: I=∫1294x2-3dx=18∫12x2-322dx

Q: Approximate the integral V1+ x³dx using:

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Q: Evaluate the integral xdx V1- x

A: =?

Q: xdx Vx +3

A: We have to find the integral

Q: dx /3-2x-x² 2

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Q: /1- xº V1-x°

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Q: Evaluate the improper integral : 6be 8z" dx

A: Note: As per our guideline we are supposed to answer only one question. kindly repost the other…

Q: Evaluate the integral. Sóx(In x)*dx 2 5x (In x =xp, dx:

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Q: Evaluate the improper integral : (* 6xe-3x°, dx

A: We need to evaluate the following improper integral I = ∫-∞∞6x5e-3x6dx…