Perform the integration: ... ex+2 A 1/In(e+2) + C B None of the choices are correct. In(e + 2) + C D In(e2x+ 2) + C E 2 In(e+ 2) +C

Q: Find the integration distance (f, g) =| f(x)g(x) dx between the given polynomials. f(x) = -6x + 3,…

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Q: Perform the integration: S 9x² In x dx A None of the choices are correct. B 3x In x- x/3+C 3x In…

A: We have to integrate.

Q: calculate the integral of: e(x^2/2)

A: We'll use the Maclaurin series expansion for e^(x^2/2).

Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.) dt…

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Q: Determine the constant of integration of f (x)= ƒ (15xª – 3x²) da if f (1) = 4? O None of the…

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Q: Show the similarity 1 (x² + a²)m dx = 2(-m+1)(x² + a²)m-1 using the substitution u=x^2+ a^2. Also…

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Q: Evaluate the integral: tejat A. 2 1n(e2t-e-2t) +C B. 2 1n(e2t + e¬2t) +C e20-e-2t In(e2t-e-2t) +c -…

A: To evaluate the given integral.

Q: [Hint Reverse the order of the integration] Select one: A 4/3 OB. 3/2 O C 5/4

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Q: In the integration What is the value of u? xV1-4in?x a. u = 4ln² x In x b. u = C. u = In x? = Inx d.…

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Q: Find the integration distance (f, g) = | f(x)g(x) dx between the given polynomials. f(z) = 6x + 3,…

A: From the given problem: fx=6x+3 ; gx=-3x+9 f,g=∫01fxgxdx As we know that the sum rule:…

Q: 13.Using integration by substitution in f'æ° (x® – 2)*dæ ,what is du? O A (26 – 2)³ dx (xº – 2)dr…

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

Q: Using Gaussian integration, the integral f(x) dx is equal to? (a) 2 f¹, f(2x + 3) dx (b) f¹ f(2x +…

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Q: dæ 2 (x² + 1)²

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Q: Evaluate the integral. 2+e-2x dx e3x 10 +C O -2e-5x(5e3x + 1) + C e Sx(10e2x + 3) + c 15 1 e 3* 2e2x…

A: The given integral is ∫2+e-2xe3xdx. Evaluate as follows.…

Q: Find the integration distance (f, g) =| f(x)g(x) dx between the given polynomials. f(x) = 6x + 2,…

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Q: e2z Q5- The value of the integral . Sc Where C is Z =3 (Z+1)4

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Q: If 8 10 | f(2)dæ = f(2)da + I f(æ)dx - / f(x)dx, 4 8, 4 what are the bounds of integration for the…

A: Given information:-

Q: Using Gaussian integration, the integral ſ₁ f(x) dx is equal to? (a) 2 ¹₁ ƒ(2x + 3) dx (b) ſ'¹₁ ƒ(2x…

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Q: Evaluate the integral. 20e V5x dx Select one: A. 10 e5x + C B. 45 ev5x + C C. 20 eV5x + C D. 5 e5x…

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Q: b2 a? Use the rules for definite integration and the formulasĮ cdx = c(b - a) for any constant c and…

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Q: (d) Using -[ sin() t, S(r) = %3D and performing integration by parts, write S(r) in the form S(x) =…

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Q: 2. Reverse the order of integration and then evaluate. o S x² sin(xy)dxdy a.

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Q: C for the con

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Q: Derive the numerical integration for Boole's Rule given by b- a | f(x)dx= l4(f) = [f(a) + 32f(x1)+…

A: Substitute n=4 in the general formula for solving numerical integration to obtain the expression of…

Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.) dt…

A: We need to evaluate the integral using the given substitution

Q: Use the substitution formula to evaluate the integral. Vx +1 dx B) 2/2 - 1 D) 3/2 - 3

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Q: In the integration What is the value of u? xV1-4in?x a. u= 4ln² x In x b. u = 2 c. u = In x? d. u =…

A: The integration of the integral is  1/[x sqrt(1-4ln2x) ].

Q: Use the substitution formula to evaluate the integral. fin-√3/22 c2x dx 1 + e4x 28) 0

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Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.)…

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Q: Find the complete integral of (p2 + q2)y = qz.

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Q: Solve the integral: A 5n/1+x²|+C 5 (B) 6in 5+x' 6In|5+ +C 음 m/1+x²|+c C ³√|+C 1+x √√√√x+x² dx D

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Q: Apply Integration by parts and evaluate : 5 x'e dx 5 x?e-" + 10 xe + 10 e* + C 10 e- + C ¯³ 10 xe -x…

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Q: Evaluate the integral. 8+e-5x dx e6x 1 44 -5x +6 + C 30 O -8e-l1x(11e6x + 1) + C O .tel1x(88e5x + 6)…

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Q: Find the integration distance (f, g) = | f(x)g(x) dx between the given polynomials. f(x) = -5x + 1,…

A: Given that  (f,g)=integral f(x)g(x)dx  To find the integration distance

Q: In'(r) da. integration by parts (a)

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Q: Solve the integral: A 3√√x² B + C 6 C 6√√x + C с D 3³√√x² +C ကြ Sv √√√x 3√x X dx

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Q: Q2/Evaluate the integral: 1.57 9-x2 dy dx x, by changing the order of integration.

A: The integration order can be changed by changing the inner integral to outer and outer integral to…

Q: In the integration dx xV1-4ln*x What is the value of u? a. u = 4ln² x In x b. u = 2 C. u = In x² =…

A: Given: ∫dxx1−4ln2⁡x Let, I=∫dxx1−4ln2⁡x In integration of this type we substitute in such a ways…

Q: Apply Integration by parts and evaluate : x²e¬* dx – 4 xe -x O – 2 x²e-ª +4 e-* + C | - O 2 x²e=* –…

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Q: Apply the appropriate integration techniques to evaluate 9x? dx S- а. b. fxsin dr. 2 c. f(2x – 8)°dx…

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Q: (1+ 1)? dt =D t3

A: Given : ∫1+t2t3dt

Q: complete integral of the PDE: z?p? + q? = 1 2

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Q: If - 2 f(x)dæ f(x)dx + f(2)dæ – / f(x)dx, what are the bounds of integration for the first integral?…

A: We have to solve the integration

Q: In each part, confirm that the formula is correct, and state a corresponding integration formula.…

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Q: df Use integration to find f(4), if = dx O -26.667 O -19.667 O 26.667 O 30.333 5x2, and f(1) = 7.

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Q: 2) I = S t? sin ßt dt

A: Standard Formula that has been used are ∫sin(ax)dx=-cos(ax)a∫cos(ax)dx=sin(ax)a

Q: Apply Integration by parts and evaluate : 5 x'e- da o - 5 x'e- - 10 xe + 10 e + C O - 5 x?e-* – 10…

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Q: Use the three-point Gauss-Legendre formula to evaluate the integral dx Ső (2x + 1)²

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Q: Use the substitution formula to evaluate the integral. 2/5 dt v/252 -1 -2/5

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