e the integral, 1 x2 dx (3 + 4x – 4x²)/½

Q: Evaluate the integral. (Use C for the constant of integration.) 33 + 8x – x² dx

A: Given integral, ∫33+8x-x2 dx

Q: (d) | Ta2 – 4)3 dx -

A: To Determine: Convert the indefinite integral into definite integral using the interval [0,1]…

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) (5 – 8x)10 dx

A:

Q: sech(ln x) dx リ-5

A: Given integral, ∫-50sech(lnx)dx The objective is to evaluate the integral by substitution.

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

A:

Q: Use properties of the indefinite integral to express the following integral in terms of the simplest…

A: Use the following property of indefinite integral: ∫fx-gxdx=∫fxdx-∫gxdx∫kfxdx=k∫fxdx Consider the…

Q: Evaluate the indefinite integral using substitution. (Use C' for the constant of integration.) x2 dx…

A: Given:  Let I=∫x2x3-3 dx To Find: To evaluate the given integral.

Q: Use integration by parts to evaluate the integral: [2¹¹ ln(a) dx =

A: ∫(1stfunction).(2nd function)dx=(1st function)∫(2nd function)dx-∫ddx(1stfunction)∫(2nd function)dxdx…

Q: (x2. x3+15+12 (x²+5)dx

A: Solve by substitution method of integration

Q: Find the indefinite integral using the substitution x = 8 tan(0). (Use C for the constant of…

A: to find:- integral value of the given function.

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

A:

Q: Use properties of the integral and the formulas in the summary to calculate the integrals.

A:

Q: Use integration by substitution to evaluate the following indefinite integral, |x²sin (x³ + 3)dx

A:

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

A:

Q: Evaluate the indefinite integral using substitution. (Use C for the constant of integration.) x7 dx…

A: We have to solve

Q: Find the indefinite integral, Using Long Division Before Integrating                 ∫(x2 + x +…

A: Consider the given expression as

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

A:

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

A:

Q: Consider the definite integral ,(x² – 2x + 2) dx. (a) Estimate this integral by using 3 rectangles…

A:

Q: Use properties of the integral and the formulas in the summary to calculate the integrals.

A: Given : ∫25x2dx

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

A:

Q: Find the indefinite integral using the substitution x = 3 sec(0). (Use C for the constant of…

A: To find the integration (x³√(x²-9))dx With substitution x=3sec(theta)

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

A: Given to integrate∫x2x3+8dxwe solve this by the method of substitutionwe know,∫xndx = xn+1n+1+c…

Q: Fnd the Indefinite Integral and check your result by differentlation. (Use C for the constant of…

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: Use the Table of Integrals on the Reference Pages toevaluate the integral.

A: Evaluate: ∫4x2-4x-3dx

Q: Use properties of the indefinite integral to express the following integral in terms of the simplest…

A: The given integral is ∫(5x^2–5x) dx.It is known that, if f and g are integrable functions, theni) ∫a…

Q: Evaluate the integral. (Use C for the constant of integration.) 75 – 10x – x² dx

A:

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: Find the indefinite integral using the substitution x = 5 tan(0). (Use C for the constant of…

A:

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) 1 1) dx + 9(x2 + 1)

A:

Q: Use the basic integration rules to find or evaluate the integral                     ∫100 /√(100 −…

A: Given that : The integral is ∫100100 - x2 dx .

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

A:

Q: Evaluate the integral 1 x(110) dx Integral =

A: Given integral is,

Q: Evaluate the integral. (Use C for the constant of integration.)  integral symbol (ln(x))50/x dx

A:

Q: Find the indefinite integral. (Use C for the constant of integra -8 + 12 dx ャ

A:

Q: Find the Indefinite Integral and 5x + dx (5x), Step 1 To obtain the glven Integral, rewrite the…

A:

Q: Find the indefinite integral using the substitution x = 8 sec(0). (Use C for the constant of…

A:

Q: Evaluate the integral. (Use C for the constant of integration.) (7 – 17x) dx

A: We can solve the indefinite integration.

Q: Evaluate the indefinite integral using substitution. (Use C for the constant of integration.) dx - 1

A:

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

A: Given the indefinite integral I=∫xx+8dx

Q: Find the indefinite integral by making a change of variables. (Use C for the constant of…

A: Integrate the function:

Q: Find the indefinite integral using the substitution x = 5 sin(0). (Use C for the constant of…

A: We can find the required integral as below

Q: Find the indefinite integral. (Use Cfor the constant of integration.) 9 dx x/ 81 - (In x)2

A:

Q: Evaluate the indefinite integral using Substitution. (use C for the constant of integration.) 3 ln z…

A: Substitute ln(x)=t

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

A:

Q: Evaluate the indefinite integral by the method of substitution. Let u = x*. (Use C for the constant…

A: ∫ x31+x8dx =∫x31+x42dx.............(1) take  u=x4 du=4x3dx dx=du4x3...............put it back in…

Q: Evaluate the indefinite integral. (Use C for the constant of integration.)  (7 − 5x)5 dx

A: Assume u=7-5x From there we get dx= du/-5