Evaluate the integral. -2x 50хе dx +C NOTE: Enter the exact answer.

Q: I Csc 3x² cot 3x²dx

A: Given that, I= ∫xcsc3x2cot3x2dx

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. 6. - dx (2 —…

A:

Q: e2 sec(e2")dr

A: We have to solve the integral: ∫e2x sece2xdx In this case we will use substitution method. So…

Q: Evaluate the integral and check your answer by differentiating. NOTE: Enter the exact answer. + 6e*|…

A: Solution of above integral is written in step2.

Q: Use the basic properties of the integral to calculate o (u? + bu) du. S (u² + 6u) du :

A: Given integral is ∫03u2+6udu. Use property  ∫af+bgdx=a∫fdx+b∫gdx Hence, ∫03u2+6udu=∫03u2du+6∫03udu…

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. x²e-9r³ dx +C

A: ∫x3e-x3dx

Q: evaluate the integral by completing the square and using trigonometric substitution.

A: We first complete the square

Q: Evaluate the integral and check your answer by differentiating. NOTE: Enter the exact answer. |(7+)…

A:

Q: Identify uu and find dudu for finding the given integral using substitution. ∫−5x5√x6−6dx

A: We have to identify u and then find du for the given integral using substitution.    ∫−5x5 √(x6…

Q: sec²(/T+1) dr. 9.

A: To integrate ∫sec2x+1xdx Substitute u=x+1 Then         dudx=ddxx+1       =ddxx+ddx1       =12x12-1+0…

Q: |(3? +2: + 1) dz 2.

A: The given integral is, I=∫z2+2z+143dz On simplifying the term under integral, we get…

Q: Express the integral in terms of the variable u, but do not evaluate it. eS-4 dz; u = 5z – 4 NOTE:…

A: ∫01 e5x-4dx  here change the variable x to u u = 5x -4 du/dx = 5 dx =du/5 limit is change from  if…

Q: Use the technique of completing the square to evaluate the following integrals. 163. 1. .2 + 10x

A:

Q: Evaluate the integral and check your answer by differentiating. NOTE: Enter the exact answer. + 7e*…

A: Evaluate , ∫9x+7exdx=?

Q: 3x?dx 10. S 9x6-12x3+4

A:

Q: Express the integral in terms of the variable u, but do not evaluate it. e13z-12 dr; u = 13x – 12…

A: by substitution method we can solve this

Q: Calculate the integral and express your answer in simplest form. 8x dæ (1 – 2æ²)²

A: We will be using the substitution method and finish this sum in two parts Part 1: ∫128x(1-2x2)2dxWe…

Q: 24x2 da Evaluate the integral:

A:

Q: Evaluate the integral. -0.8 (x -208) da

A:

Q: 9, dx 3+x4 1 3C

A:

Q: Evaluate the integral and check your answer by differentiating. NOTE: Enter the exact answer. 5. +…

A:

Q: Evaluate the integral and check your answer by differentiating. NOTE: Enter the exact answer. | a(14…

A: Given: Let I=∫x1314-x2 dx To Find: To evaluate the given integral and to check the answer by…

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. 5et + 2e- dx…

A: Use the appropriate substitution and simplify the Integral then integrate.

Q: Calculate the integral and express your answer in simplest form. 3x dx (2 – x²)4

A:

Q: Evaluate the integral. NOTE: Enter the exact answer. 9T dy da Jo (ry + 1)²

A: To find the value of the given integral :-

Q: Evaluate the integral and check your answer by differentiating. NOTE: Enter the exact answer. + 4e"|…

A: Here we have to evaluate the given integral and check the answer by differentiating.

Q: Evaluate the integral. NOTE: Enter the exact answer. 1 29 VT dx = 17c +C

A:

Q: Evaluate the integrals. Simplify your answers 4. ſx³V2x² + 1dx

A:

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. (15x – 14)°…

A:

Q: Calculate the integral and express your answer in simplest form. 10 dx 4+9x2

A: We need to evaluate the following integral  I = ∫104+9x2dx Formula used : ∫1a2+x2dx = 1atan-1xa+C

Q: Evaluate the integral and check your answer by differentiating. NOTE: Enter the exact answer. + 4e"…

A:

Q: Evaluate the integral by completing the square and applying appropriate formulas from geometry.…

A:

Q: Evaluate the integral and check your answer by differentiating. NOTE: Enter the exact answer. | ¤(7+…

A: Introduction: "Integration is the process of determining the function from its derivative, and this…

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. 9et + 8e-* dx…

A:

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. dx (8x4 + 7)°…

A:

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. |(142 – 13)*…

A: We have to integrate the given problem by appropriate substitution.

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. | (6x – 5)°…

A: As we know that the Power Rule: ∫xndx=xn+1n+1+C ; n≠-1 Given: I=∫6x-59dx  ...1

Q: EC) Determine the value of the definite integral -1 ² (4x³ + 5)³dx .

A: The given definite integral,     ∫-10x24x3+53dx

Q: Evaluate the integral and check your answer by differentiating. NOTE: Enter the exact answer. 2 +…

A:

Q: x3 – 4x? + 7x – 9 dx 30. x – 5

A:

Q: Evaluate the integral | |3æ- - 1| dæ. Answer:

A:

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. (18x – 17)°…

A:

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. (9x – 8)° dx…

A: We need to evaluate: I=∫9x-89dx by using appropriate substitution. This can be evaluated as follows:…

Q: y3 (1 – 2yª)5 4y

A: The given integral is ∫y31-2y45dy

Q: Write the integral in terms of u and du. Then evaluate. (8x + 29)-2 dx, u = 8x + 29 (Use symbolic…

A: topic - indefinite integration

Q: Evaluate the integral by completing the square and applying appropriate formulas from geometry.…

A: Topic = Integration

Q: Evaluate the integral and check your answer by differentiating. NOTE: Enter the exact answer. 9. +…

A:

Q: Evaluate the integral. 17xe dx +C %3D ENOTE: Enter the exact answer.

A:

Q: Calculate the integral and express your answer in simplest form. 2 9 dx -3 V3x + 10 Answer: Submit…

A:

Q: 16. V5 a csc? (3а? - 1) da 4

A: