Evaluate the integral. .2 5) t + dx t 1

Q: Evaluate the integral. x? + x + 1 dx (x² + 1)²

A: To evaluate the given integral

Q: Evaluate the integral. 3 x e* dx = +C

A:

Q: 05: A) Evaluate the following integral : S(z? - z-2)² + 4 dz

A: To evaluate the given integral

Q: Evaluate the integral.

A: Recall

Q: Evaluate following integrals. dx a) (x² + 1)(x² + 2x + 2)

A: Here we have to find the integration of this function for this, calculate the residue at each pole…

Q: 1. S 3ln x2 dx

A:

Q: Evaluate the integral. T/2 9 cos?(0) de

A: Integration of 9 cos2(theta) from limit 0 to π/2.

Q: Evaluate the integral. dx a > 0 + x²)3/2? 4 Jo (a2

A: given, 4∫0adxa2+x23/2 , a>0

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

A: Ln(e^x) = x

Q: Evaluate the integral 7ª S* (y cos x + 4) dydæ.

A: The detailed solution is given below Thank you

Q: Which integral represents the length of the graph of y = 1+6x/2 over the interval (0, 1: Select one:…

A: Find the length of curve

Q: + 16)° dx

A:

Q: Evaluate the integral. 3 5ex + 7cos(x) dx

A: Given,          ∫035ex+7cosxdx

Q: e*dx (ex+1)7

A:

Q: Q1/ Use Gauss-Legendre formula to evaluate the integral o e-dx withn= 3.

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Q1. Evaluate the following Integral +3 dx

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Q: 5. Evaluate the following integral: S/3x tan?(x) dx (Hint: Use a substitution first)

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Q: Evaluate the integral.

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Q: Q.5 Evaluate the following integral: x+2, dx

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Q: In2 Evaluate the iterated integral ſo"" S 7 dxdy

A: In this question we have to find the double integral of the given function.

Q: Evaluate the integral. 1 (x2 + 6)e¬X dx

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

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Q: W Evaluate the following integral : or (Nx) dx

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Q: Q1. Evaluate the following Integral +3 dx ,2

A: Given,

Q: Evaluate the integral if it exists. 9y /1.2 dxdy, where D is bounded by x = 1, x = y, and x = 2y.…

A: We have to evaluate the following integral if it exists.       ∬D9yxdx dy where D is bounded by x=1,…

Q: r Evalua te the Integral

A:

Q: Which integral represents the length of the graph of y = (x2-2) over the interval (3, 4]. Select…

A:

Q: Which integral represents the length of the graph of y = In(x*) over the interval [1, e]: Select…

A: Given,  y = lnx2  We have to find the length of graph in the interval 1, e.

Q: 1 Replace the letter A in the integral Ae*+ +3,2 dx so that the integral evaluates to + C. A =…

A: Given: ∫Ae6x3+3x2dx=12e6x3+3x2+C To Find: The value of A. Concept: ∫exdx=ex+c

Q: Evaluate the integral. x sec?(8x) da +C

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Q: Evaluate the integral? U sub? I/m not sure.

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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: S (3x-3 + 3)dx Choose the most appropriate answer.

A: ∫ 3x-13+3dx=∫ 3x-13dx+∫ 3dx=92x23+3xAdd a constant to the solution=92x23+3x+C

Q: Using the substitution = the integral reduces to -1) 1 2p- dz 1/3

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Q: 2) Evaluate the following integral: (1.3)* dx

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Q: Let a > 3 be a fixed number. Evaluate the following improper integral -3)² dx

A: Given improper integral ∫a∞1x-32dx

Q: Evaluate the integral. 7 x? dx dy 2 -6 2,975 A. 6 455 OB. В. 6 455 OC. 2,975 OD. 6

A: Integration is a process of finding the anti derivative of a function. There are basically two…

Q: 11. The integral of nunex dx is bln]sec(In(2x)")|. What is b? A. 2 B. 2 C. 4 D.

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Q: Evaluate the integral. 4 – e2× dx = +C

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Q: Q: evaluate the follawing integrals n-1 dx

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Q: So 0 Evaluate the integral, if it exists. exc 1+e2x dx

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Q: 11 dx Evaluate the integral: , (5æ+6)² 11 55

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Q: col B// Evaluate the following integral : S dx

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Q: A. Evaluate the following integrals 1. So dx

A: Note: As per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: Q/ Evaluate the integrals :- 1 + Z

A: This question is based on indefinite integral.

Q: Evaluate the integral * x"e*dx for n = 0, 1, 2, and 3.

A: As per the instruction, we will answer only the first one. For (a) For n=0,   ∫0∞ e-xdx=-e-x0∞…

Q: A Evaluate the following integrals. 1. fx² In x dx 2. S tan-ix dx

A: Let I=∫ x2lnxdxApply integration by part,I=ln(x)∫x2dx-∫ddx(ln(x)∫x2dxdxApply power rule…

Q: Q23: Find the integral of f x In(x) dx.

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find the integral. dx O A. 5x e* - In |x| +C O B. 5e* - In |x| + c 1 О с. 5ех. + C 2x? 2 O D. 5eX +C…

A: The solution is :

Q: 4. Evaluate. H. following.integrals.by.changing.the.arder.of integrahan. o... .4 .a..... 2 4005(x?)…

A: