9. If the change of variables u =x- 2 is used to evaluate the definite integral f(x) dx, what are the new limits of integration? 5

Q: 7. If f is negative on [-3, 2], is the definite integral f(x) dx positive or negative? What about…

A: It is given that function f is negative on -3,2

Q: Suppose f has absolute minimum value  m and absolutemaximum value M . Between what two values must…

A: Given that the absolute minimum value of f(x) is  m and absolute maximum value is M So,…

Q: 2. Compute the following. When evaluating the definite integral, change the limits of integration.…

A: (a).  The given integral is: ∫x21+x35dx

Q: 2. Suppose | 29(r)dr = 10. Using linearity properties of integrals, calculate | (g(x) + 3)dx. 3

A:

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

A: This is a basic integration problem

Q: 14 Find the integrals using integration by parts. Lx(x + 4) dr --2

A: Given that:(a) ∫x(x+4)2dx

Q: Suppose fhas absolute minimum value m and absolute maximum value M. Between what two values must |…

A: Apply formula for finding correct option

Q: If the change of variables u = x -2 is used to evaluate the definite integral f(x) dx, what are the…

A:

Q: 24/ Answer two from the following :- 2-x - Evaluate and change the order of integration in 1 = ²*xy…

A: We have to solve the given problem.

Q: Find the general indefinite integral. (Use C for the constant of integration.) x3 + 12), 343 x*+C 2

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) cos 2x cos 4x dx

A:

Q: Given the definite integral, its limits are to be substituted to x³ dx x + 1 x² x² 2 x3 3 Option 1 +…

A: Given problem:-

Q: Find the indefinite integral. (Use C for the constant of integration.) (4 cos x + 3 sin x) dx

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) ex V1- e2x dx

A: Calculate the integration in the following way:-

Q: If the change of the variables u=x^2-7 is used to to evaluate the definite integral upper 6 and…

A: Explanation of the answer is as follows

Q: If -2 5 [° f(x)dx = [__ * f(x)dx + [_^¸ ƒ(a)dx − [¯* f(x)dx, -8 what are the bounds of integration…

A:

Q: If the change of variables u = x2 - 4 is used to evaluate the definiteintegral, what are the new…

A: ∫24fx dx Here the lower limit is x=2 & upper limit is x=4.

Q: Find the indefinite integral. (Use C for the constant of integration.) dx x2 + 3

A:

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

A:

Q: 1. Evaluate S(x + y)dxdy by reversing the order of integration.

A:

Q: Find the indefinite integral (use c for the constant of integration) ∫cos3 x sin x dx

A: To solve the given integral

Q: If 9. 3. 6. f(x)dx = || f(x)dz + 6. what are the bounds of integration for the first integral?…

A:

Q: If the change of variables u = x + 1 is used to evaluate the definite integral f(x) dx, what are the…

A:

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

A:

Q: 2: Change the order of integration. •ln 4 f(u, у)dydx.

A:

Q: Evaluate the indefinite integral. (Use C for the constant of integration. to dx 1+x20

A: To evaluate

Q: Exatuate the integral pvz O√3 √4-X² √EX 9 (√x ² + y² dy dx

A: Evaluation of double integral by conversion to polar coordinates.

Q: d) Evaluate using integration by parts: [(x+2)ln x dx

A: Integration by parts rule:

Q: Find the indefinite integral. (Use C for the constant of integration.) (4 cos x + 5 sin x) dx

A:

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: 5. Evaluate the integral. (Use C for the constant of integration.) sin³ (y)cos (y)dy

A:

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

A: Given,  ∫e5x-7ex/2 dx

Q: x² – 25 dx Jx+5

A: Formula: a2-b2= (a+b)(a-b)

Q: Find the general indefinite integral. (Use C for the constant of integration.) 3 8x2 + 7 + dx x2 + 1

A: Given : ∫8x2 + 7 + 3x2+1dx

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

A:

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

A:

Q: Select the basic integration formula you can use to find the indefinite integral. 10 dt (10t – 3)2 +…

A: Given that              ∫ 10/{(10t - 3)2 + 81} dt Here we have to find the indefinite integral by…

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

A:

Q: The most convenient way to evaluate A True B False S 2x-3 x²-3x+5 -dx is use Integration by Parts.

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) cos 2x dx

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) / (In x)8 dx 8 ln (x) + C

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) 3 dz zV 16z2 – 25

A:

Q: 1. Evaluate S Vx3 +1 dx dy by reversing the order of integration.

A: Given:

Q: S e2x x2 dx

A:

Q: 4. Evaluate this integral by reversing the order of integration: Vy3 +1 dy dx.

A:

Q: If the change of variables u = x² +1 is used to evaluate the definite integral f(x) dx, what are the…

A: given:- u = x^2 + 1 to find:- new limits.

Q: 4 16–x² Change the order of integration. Do Not Evaluate. 5tan xy dy dx

A: Answer

Q: Solve numerically the integral e**dx ´dx by: (1) Trapezoidal rule with n = 4 (ii) Simpson's rule…

A: The given integral is, 12π∫-22e-x2dx