The indefinite integral is often called the O antiderivative. constant of integration. derivative. O slope.

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) e -du (8 - e")?

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

Q: Find the indefinite integral. (Use C for the constant of integration.) Je- (2 - x)3(2 - x)² d

A:

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

A:

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) x(x? + 8)10 dx

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) (x + 1)8(x + 1)2 xp

A:

Q: Find the indefinite integral. (Use Cfor the constant of integration.) 6 cosh(x) dx

A:

Q: "ind the indefinite integral. (Remember to use absolute values where appropriate. Use C for the…

A: To evaluate the indefinite integral: ∫x2x-8dx Solution: Degree of numerator is greater than…

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) eu du (5 – e")2

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) de cos(0) – 1

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) 8 cosh(x) xp

A:

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) + 48 dx

A:

Q: Evaluate the integrals. If the integral diverges, answer "diverges." 375. dx

A:

Q: Find the indefinite integral by using the substitution x = 4 sec(0). (Use C for the constant of…

A: We have to solve the integral

Q: Evaluate the indefinite integral. (Use C for the constant of integration.)

A:

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) sin(2x) cos?(x) 45 + coS

A: we know the trigonometric identitycos2x=2cos2x-1cos2x=1+cos2x2I=∫sin2x45+cos2xdxreplace value in the…

Q: Evaluate the indefinite integral. Use C as the constant of integration. de

A:

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) eu du (4 – e")2

A: We can find the integral by using the substitution w=4 - e ᵘ .

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

A:

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

A:

Q: The Value of the integral

A: To find the value of the integral

Q: valuate following Integrals

A: The given integral ∫dθ1+cosθ can evaluated as, ∫dθ1+cosθ=∫dθ2cos2θ2…

Q: 2x

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) 7 7 10

A: ∫ 7θ2 cos 7θ dθLet  7θ = x⇒ -7θ2 dθ = dx⇒ 7θ2 dθ = -dx

Q: Find the indefinite integral. (Use C for the constant of integration.) 6 cosh(Vx) xp

A: The given integral is∫6coshxxdxwe will solve the above integral using substitution method.

Q: Find the indefinite integral. (Use C for the constant of integration.) 1 1 xp

A:

Q: Use the Log Rule to find the indefinite integral. (Use C for the constant of integration.) dx

A: Let z=x2+2dz=2xdxxdx=dz2

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

A: Given

Q: Use integration by parts to evaluate the definite integral fr² ln x dr

A: Topic- integration by parts

Q: Use the Exponential Rule to find the indefinite integral. (Use C for the constant of integration.)

A: Integration is the process of finding the anti-derivative function of a given function. Integrating…

Q: a) For each of the following improper integrals, find the value of the integral or explain briefly…

A: We will find out the required value of improper integral.

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) sec?(70) de

A: We have to solve the problem

Q: Use a change of variables or the table to evaluate the following indefinite integral. dx

A:

Q: Find the Indefinite Integral using the substitution x 7 sec(0). (Use C for the constant of…

A: Solving

Q: h) S dx 1 g) S", cost t dt -π/4 x²Vx2

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) 5 cosh(Vx) xp

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) e2x dx 81 + e4x

A: the given indefinite integral is: ∫e2x81+e4xdx we have to evaluate the given indefinite integral.…

Q: Find the indefinite integral. (Use C for the constant of integration.) 8 de cos(0) – 1

A:

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) | (ain(x) + 8 sinh(x) -

A:

Q: ......................... .......... Find the indefinite integral. (Use Cfor the constant of…

A:

Q: In x dx x2

A: Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) |x*Vx? + 26 dx

A: Topic :- Integration

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

A: To evaluate the following integral

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) (e dx

A: Here we integrate the given function.

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) dr

A: Follow the procedure given below.

Q: Find the indefinite integral. (Use C for the constant of integration.) tan? 10 sec 1. X X dx

A:

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) -6r dr

A:

Q: Find the indefinite integral by using the substitution x = 5 sec(8). (Use C for the constant of…

A:

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

A:

Q: please answer the question and show all of your work

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) 3t V9t4

A: Here, we use the formula shown on  board.