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

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

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

Q: Evaluate the integral / -2(In x)? dx

A: Given,         ∫-2lnx2dx

Q: Evaluate the integral. 43tan“x - secx dx %D

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Q: Find the integral SyVy+8 dy 4,

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Q: @ evaluate the indefinite integral fxº ex* dx

A: Given problem:- ∫ x8 ex^9 dx

Q: Evaluate the integral by making the substitution u = x5 – 6.

A: Given∫x4(x5-6)6dxSubstitute x5-6=uDifferentiate x w.r.t u5x4dx=dux4dx=15du

Q: Compute the integral by algebraic substitution: ∫∛1-3xdx

A: Evaluate: ∫1-3x3 dx

Q: 4 Write an integral that is equivalent to 1 af dx. -

A: Given,          ∫-6-4xf14x2-2dx

Q: Find the integral of Idx et ex+1

A: We have f(x) = ex-1ex+1 Now , we have to find  ∫ex-1ex+1dx  =  I(say)       Put   ex = t…

Q: Evaluate the integral using trig substitution: ∫√(x2+2x) dx

A: The integration to be performed is I=∫x2+2xdx. Substitution method will be used to solve the…

Q: 1= [3y/7-3y° dy

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Q: Evaluate the integral: a V1 + 492 da

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Q: Evaluate the improper integral, 5 if exists : dx (5 – x)3

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Q: Evaluate the integral.

A: Given: ∫e6dxxlnx. for finding this integral we use substitution method and  substitute lnx=t now we…

Q: Determine whether the integral is improper. +∞0 (x+3)-1/3 dx -∞0 O Improper O Not improper

A: Topic = Integartion Improper

Q: Evaluate the integral using Algebraic Sub. x + a dx 3x a |

A: Just I have used the substitution to make integral easy and then solved it. Final solution is in the…

Q: x7 +1 dx = x8 + 8x Vr8

A:

Q: Evaluate the integral by making an appropriate u-substitution and applying any necessary formula(s).…

A: We need to integrate∫ex-8x-8dx

Q: Which integral could be evaluated using the substitution u = x ?

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Q: Evaluate the integral frever se 2. SS ー2 SinXy dsdx メ

A: Here we are given the following region of integration: The first part of region represent: x = y…

Q: Evaluate the improper integral if it exists 1 dxp:

A: We have to use properties of integration.

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. In x3 dx 15)

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Q: Decide whether the integral is improper. 1,01 In(x5) dx

A: We are asked to find whether integral is proper or improper

Q: Evaluate the integral: a² /1+ 9=*dz

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Q: evaluate the integral from 0 to sqrt(2) x2/(4-x2)3/2 dx

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Q: Evaluate the improper integral xe d

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Q: Evaluate the integral.

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

Q: Evaluate the integral. In(10 x 9) dx +C

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Q: Find the indefinite integral. dx xV9+49x2

A: see 2nd step.

Q: Evaluate the improper integral attached with this question.

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Q: 1 dx = 2 Jo 4+x 8.

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Q: Evaluate the integral. 8 Ox z dr dz de 5 4x 0

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Q: Evaluate the integral. 49 9Vx dx J25

A: Given: I=∫25499xdx we know that ∫xndx=xn+1n+1+c

Q: A. Determine whether each integral is improper. If it is improper, give your justification. dx 2.

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Q: Evaluate the integral 49 by making the substitution u = x* – 2. + C

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Q: Evaluate the integral by making the substitution u = x – 6.

A: Given,           ∫x2x3-637dx ; by making the substitution u=x3-6

Q: Evaluate the integral. 6x * de +C 17e -

A: The value of the given integral is 18x1/3 - 17ex + C

Q: Evaluate the improper integral da, if it exists. (22 + 49)2

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Q: Evaluate the improper integral. x In6x dx 0.

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Q: Compute the integral by algebraic substitution:  ∫3x^5√16-x^2 dx

A: The given integral is: ∫3x516-x2 dxLet, I=∫3x516-x2 dx⇒I=3∫x516-x2 dx    -1

Q: nd the integral of

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Q: Evaluate the integral and check your answer by differentiating. ∫ (2+y2)2 dy

A: The given integral is ∫ 2+y22 dy. Evaluate as follows.

Q: Evaluate the integral.

A: In integral type:We use below solution technique  I=∫abax1+ax2dxAdd and subtract '1' in nominator of…

Q: Evaluate the integral ¹9(√x² + y²) dxdy.

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Q: Evaluate the integral. In(9 x – 8) dx -

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Q: Compute the integral by algebraic substitution: ∫7/2+√x-4 dx

A: We need to compute the integral ∫72+x-4 dx Now, using the property ∫a fx+bgx dx=a∫ fx dx+b∫gx dx…

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

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

Q: evaluate the integral from 0 to 3, x^3 dx/ sqrt 9+x^2

A: