Find Lebesque integral of function on segment (-3,0) 1 f(x) = %3D x+3

Q: Evaluate the integral. (Use C for the constant of integration. x² 3/2 dx - 4x²)2 3 + 4x

A: We have∫x23+4x−4x232dx

Q: Find the indefinite integral. (Use C for the constant of integration.) dx x(In(x²))7

A: Let us assume that:

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) Jx x5/2 In(x) dx

A:

Q: Evaluate the integral. inegral  0 to 1 [(2x+3)/(x+1)2 ]dx

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) | (in(x))6 dx х

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) (In x)7

A: This is a basic integration problem

Q: |x| dx 1 X V1– x² -1

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) 4 zV 64z2 dz 49

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Q: Find the indefinite integral. (Use C for the constant of integration.) V3 dx

A: Objective of this question is to solve the indefinite integral  I=∫3dx Since x0=1, the integral can…

Q: The result of the integral is equal to 4 √ = (x − 1)(x + 1) dx

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) dz zV 25z2 - 49

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Q: Find the indefinite integral. (Use C for the constant of integration.) 2 dz zV 16z2 - 49

A: We will use substitution to solve this

Q: Evaluate the integral. (Use C for the constant of integration.) (1.2^x+4^x)dx

A:

Q: Evaluate the integral. (Use C for the constant of integration.) (x^2-25)^1/2/x^3 dx

A: To find:-  ∫ √(x2-25)/x3 dx

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) Jove ex V45 + ex dx

A:

Q: Evaluate the integral dx (x + 1)(x² + 1) Sz

A: The integrand can be written as:…

Q: Find the indefinite integral. (Use C for the constant of integration.) de cos(e) -

A: The solution of given problem is follows as

Q: Find the indefinite integral. (Use c for the constant of integration.) (2ti + j + 3k) dt

A: Given, ∫2ti +j+3k dt We have to find the above integral.

Q: Find the general indefinite integral. (Use C for the constant of integration.) (Sx² + 8 +) dx 4 x2 +…

A:

Q: Evaluate the integral. (Use C for the constant of integration.) (arctan(x))5 | x2 + 1 dx

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) 7t + 4 dt

A: ∫e7t+4 dt = e7t+47+Cexplanation is given in below step

Q: Find the indefinite integral. (Use C for the constant of integration.) dz zV 49z2 - 9

A:

Q: Find the general indefinite integral. (Use C for the constant of integration.) dx

A:

Q: Find indefinite integral.

A: ∫5lnz+3z dz Put, 5lnz+3=t⇒5·1z+0=dtdz⇒1zdz=dt5

Q: Evaluate the integral. (Use C for the constant of integration.) te-8t dt

A:

Q: 1. Evaluate the integral using integration by parts where possible. Z2 x In(8x)dx

A: we  have ∫12x*ln(8x) dx   we have to apply integration by parts ∫u v dx = u∫v dx −∫u' (∫v dx) dx…

Q: Find the general indefinite integral. (Use C for the constant of integration.) / (2x² + * + dx x2 +…

A:

Q: Find the general indefinite integral. (Use C for the constant of integration.) ∫3v(v2+4)2dx

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Q: Find the general indefinite integral. (Use C for the constant of integration.) 2 4x2 + 8 + dx x2 + 1

A:

Q: 2.2 (e-x* + 1) dx 0.5

A: Topic-integration

Q: 1 Evaluate the double integral by reversing the order of integration 3* sin(xy?) dydx

A: First, we will change the order of integration then we will solve it.

Q: If f(x)dx - + what are the bounds of integration for the first integral? a = and %3D

A: To find the bounds of integration

Q: When using Simpson's rule to approximate the integral In(x+1)dx, then the upper bound of the error…

A: Consider the given information. I=∫23lnx+1dx Let's take 1 for n for the error bound. Calculate the…

Q: Set up a definite integral to find the length of the curve  y= (3/4)x(4/3) - (3/8)x(2/3) over the…

A: The given curve is,

Q: Determine the value of the integral: integral sign:  (x^2)(e^-x^3)

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) 8 zp zV 49z2 - 25 2 49x – 25…

A:

Q: Evaluate integral of interval ln 8, 0 of ex d x

A: We have to evaluate

Q: Evaluate the integral. (Use C for the constant of integration.) 11 dx x²V 4x² - 1

A: Given integral ∫11dxx24x2-1=11∫dxx24x2-1 Now consider ∫dxx24x2-1 Use substitution method to solve…

Q: Find the general indefinite integral. (Use C for the constant of integration.) 3 4x2 + 5 + dx 2 X +…

A:

Q: Calculate an approximate value of the integral x2 dx by dividing the 1+x interval into 4 equal parts…

A: In the question we have to find the value of integral by using Simpson's one - third rule.

Q: Use Simpson’s Rule with n = 4 to approximate ∫1  ex^2dx 0   (integral from 0 to 1 of e^x^2 dx)

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Q: Find the general indefinite integral. (Use C for the constant of integration.) 8x + 4 + dx x2 + 1

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Q: Find the indefinite integral. (Use C for the constant of integration.) 2e 1/x x2

A:

Q: Evaluate the integral S - dx V16-x2

A: Evaluate the integral of the integrand  x2/√(x2-16) .

Q: 2 S sin (ax)cos(ax)dx

A:

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) 8t dt 8t + 5

A:

Q: 描 罪 樂 排 Evaluate the indefinite integral. (Use C for the constant of integration.) (3t + 4)2.2 dt

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) dx | x(In(x²))5

A: This is the indefinite integral problem

Q: Find Lebesque integral of function on segment (0,1) f(x) = if- 7h+1

A: In the given question we have to find the Lebesque integral of the given function…