Sif(x) dx = 3 and Sf(x) dx - 10. 1o 25(x) dx

Q: 5. If a and b are positive constants, evaluate the following integrals: ,-bx e-ax -e -dx; (a) (b)…

A: The objective is to evaluate: ; where a and b are positive constants.

Q: (b) / e*+e* dx.

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Q: Approximate the following integrals using the Trapezoidal rule. 0.5 [h=24 dx x-4 a. [x² dx 10.5 b.

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Q: Evaluate the integral 8x2 dx J (æ – 3)(x + 2)² - Note: Use an upper-case "C" for the constant of…

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Q: Find the indefinite integral

A: Formulae used: ddxxn=nxn-1ddxC=0∫12xdx=x+C∫1a2+x2dx=1atan-1xa+C

Q: e*dx 1+e

A: Given integral,

Q: Q2 - Evaluate the following integrals i. x cosh(x² + 1) dx -0.5

A: Note: As per our guidelines we are supposed to answer only one question if there are multiple…

Q: Evaluate the following indefinite integral. Use C for constant of integration. * cos(10x) + sin(20x)…

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Q: Find the general indefinite integral. (Use C for the constant of integration.) |(u + 5)(8u + 5) du

A: First we expand the expression ∫(u+5)(8u+5)du=∫8u2+5u+40u+25du=∫8u2+45u+25du

Q: evaluate the given integral.

A: Use Substitution method to determine the value of  integral .

Q: Evaluate the given integral. Use c as the constant of integration. e 22xdx

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Q: e*dx (ex+1)7

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Q: Find the following indefinite integral. +2e -0.1x dx

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Q: Evaluate the integral. (x² + 2)e¬× dx

A: To evaluate:∫01x2+2e-xdx

Q: valuate the following Integrals 1 -3 +1 dx 4secx tan x- 2 sec? x)dx .3 dx x² +1

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Q: 4x Use the appropriate substitution to evaluate the following integrals: dz =.

A: To find:∫4xx2-1dx

Q: Evaluate the integral. (Use C for the constant of integration.) s¯¹(x) dx COS

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Q: Evaluate the definite integral: 4 dx 0 x2+16

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Q: -1 0 -t³+1 2 3+² e dt

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Q: Evaluate the integral. x2 e dx +C

A: Here, to evaluate: ∫8 x2exdx=8∫x2exdx

Q: evaluate the following indefinite integrals using appropriate integration formula

A: Since you have asked multiple question,as per our guidelines we are supposed to answer only one…

Q: Q3: Find the integral for the following functions: - 1 dx 1)S- Vx2-2x+1 2) S 3cotx csc² (x)dx 3)…

A: Note: Since you have posted multiple questions. We will solve the first question for you. If you…

Q: 2e" dx (e – 1)2 1

A: Integral:- An integral is a numerical value equal to the area under the graph of a function for some…

Q: Set up an integral to find the length of the curve defined by y = 4x2 – 3 from x = 3 to x = 9, then…

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Q: Evaluate the integral. (Use C for the constant of integration.) ∫ e4θ sin(5θ) dθ

A: we have to find the value of integral ∫e4θsin(5θ)dθ to find the value we use the formula ILATE which…

Q: Q2: Evaluate the integral by integrating the equivalent reversed order : 12 ex dydx 1 e

A: The given double integral is, it is asked to reverse the order and integrate.

Q: Use reduction formula to evaluate the given integral xe" dx

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Q: valuate the following integral: x2 + 5x + 6 dx. J ( – 1) (x2 + 3) |-

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Q: dx. х2 + 4 3.

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Q: Q1 - Evaluate the following integrals i. " xe-*dx

A: We are evaluating the following integral:

Q: Q2: Evaluate the integral by integrating the equivalent reversed order: 13 e* dydx 1 e

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Q: Evaluate the integral or show that it diverges e dx 1+e-x

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Q: Find the following indefinite integrals 1. Sx(x² – 2)5 dx

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Q: Q2 – Evaluate the following integrals. 1 vi. S7 dx (sinhx+coshx)2

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Q: Evaluate the following integral. -0.8x dx 3 e S. -0.8x dx = 3 e (Use C as the arbitrary constant.)

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Q: valuate the following integrals: dx (a) x² Vx² – 16 -

A: As per guidelines we have to solve one question

Q: First make a substitution and then use integration by parts to evaluate the integral. (Use C for the…

A: We have to find

Q: Evaluate the definite integral integral a=0 and b=1    7/ 1+x2 dx

A: Refer to the question, we have to solve the definite  integral a=0 and b=1    7/ 1+x2 dx.

Q: Find the indefinite integral

A: To evaluate: ∫2x+1ex2+xdx Let substitute t=x2+x dtdx=2x+1dt=2x+1dx Substituting the value,…

Q: Evaluate the definite integral on the interval [1,2] (e^1/x ) / x^2 dx

A: Given that a function f(x) and we find its integration between 1 to 2 . Here i attached solution of…

Q: Evaluate the integral. integral from 0 to 1 (x2 + 7)e−x dx

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Q: Find the indefinite integrals: x5/2 + 4x +1 a) / 2 + Te' ) dt t3 6t +

A: We know that ∫xn dx = xn+1n+1+C         n≠-1 ∫1x dx = lnx+C

Q: Q2) Evaluate the integral x* dx 0.

A: To evaluate the given integral

Q: Find the general indefinite integral. (Use C for the constant of integration.) (u + 9)(5u + 6) du

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Q: Can i get help step by step with this problem?

A: Separate the integrals.

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) dt cos²(t) /4 + tan(t) 6

A: To evaluate the given integral.∫dtcos2t 4+tant6

Q: A. Evaluate the following integrals using the different methods of integration 5х + 6 dx (x – 2)(3x+…

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Q: Determine the following indefinite integral. dx |( + x7) dx= O

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Q: Evaluate the integral. (Use C for the constant of integration.) e8x ex/2 dx

A: Explanation of the solution is given below...

Q: 1. Evaluate the following integrals. Remember to check your antiderivatives using differentiation!…

A: