4 (2x + 6)*dx -3

Q: 7. (4 points) Evaluate the indefinite integral. 5x8 dx = 5x8 +C.

A: integration formula for this question ∫ xn dx = xn+1n+1+C ; n≠1

Q: ,2 2. 6+t dt

A:

Q: Evaluate the integral. 6x- 1 dx 6x- 1

A:

Q: (22-4) (교3-4z)3 dz

A:

Q: 5. Find the indefinite integral 6.x²dx (2x³ + 7)3/2

A: The solution for the above question is as shown below.

Q: (5) Evaluate the definite intergral [/³ (sec²x+3x)dx. /3

A:

Q: Evaluate the integral. esin−1 3x √1-9x² 32) dx

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

Q: Evaluate the integral. 5 x3-3x2 x³ - 3x2. dx x3 - 3x2 14

A: Formula used:∫xndx=nn+1n+1+C∫1x-adx=ln|x-a|+Cln|a|-ln|b|=ln|ab|

Q: Compute 3 In(x² + 1)dx=

A:

Q: Wt-1+2 dt

A: We will find the integral as following.

Q: Evaluate the integral. 1//3 2-1 tA - 1 8 dt

A:

Q: Evaluate the integral. 2 (6x – 6)(4x2 + 9)dx

A:

Q: Evaluate the Cauchy principal value of 2 x 50% -dx 8 x 2 (x² + 1)²

A: We have to find Cauchy Principal Value of the given integral.

Q: Explain why the Power Rule cannot be used to evaluate the integral (2x4 − 5)8(8x)dx

A:

Q: Evaluate the definite integral 2x2 + 2

A:

Q: Evaluate the integral: dx 3xv4x2 –9

A:

Q: Evaluate the integral f(16x3 + 4x³)dx

A: To evaluate the integral: ∫16x3+4x3dx Use the formula: ∫xndx=xn+1n+1+C, where n≠1

Q: Evaluate the integral. HINT: [Use a shortcut.] 7 x2 dx /6 x3 1

A:

Q: Evaluate the definite integral. '1 3 + 7t³j+ Vik) dt /-1

A: Consider the given definite integral

Q: Evaluate the integral. 24. '8 -2/3 dx

A:

Q: B. %23 Explain how you can prove that LA LC.

A:

Q: 6) Prove mathematically that (1 grad = 0.9 deg) %3D

A: Since, this is a multiple question according to the Bartleby Answering rule, only first question is…

Q: Evaluate the integral. 4 5x dx -2

A:

Q: Find the product of approximate numbers x, = 2.37 and x, = 20.3546 all of whose digits are valid.…

A: Here, we need to find the product of approximate numbers x1=2.37 and x2=20.3546 all of whose digits…

Q: Evaluate the integral∫ (4 /√(4 - x2)dx.

A: Let, I=∫44-x2dx Substitute x=2sint  gives dx=2cost dt…

Q: Evaluate the integral. 10) 5x2 V5 + 3x3 dx

A:

Q: 2. Estimate V50 using tools from calculus.

A:

Q: Show that L₁J - dx x² + 2x + 2 = In(√5-2).

A:

Q: evaluate using the appropriate method or combination of methods.

A: We will need by parts method with

Q: Find the integral. dx 3- 2х A 글메3-2x+C B -글 미 3-2지+ C c) 2 In 13 - 2x| +C D) - 2 In 13 - 2x| +C

A:

Q: 2. Use Theorem 4 to evaluate (3x +2x2) dx

A: Given ∫01 (3x+2x2)We know that ∫xn=xn+1n+1+C

Q: 3. Evaluate the improper integras: -0.5x +5+5 (a)

A: Part(a) Given:  Evaluate the improper integral.

Q: Evaluate the integral. HINT: [Use a shortcut.] '5 3x dx x2 + 4

A:

Q: Evaluate the integral 7-2x dx /7+12x-4x²

A:

Q: Evaluate the integral. .2 - 3 x

A:

Q: Evaluate ( Sech²(In x) dx

A: In this question we will use basic of calculus i.e concept of integration. First we will convert the…

Q: Show that dx = x² – 8x In (7 + 4/3). -

A:

Q: Evaluate the integral: 9x - 5 S dx 9x² 18x + 13 —

A:

Q: Evaluate the integral. 2. (9x2 - 8x + 6) dx

A: the Integration is a process of finding the anti derivative of a function. There are basically two…

Q: sec 2x CSC 2%

A: Solution: Consider the given integral: Now, rewrite the integral: Let u = cos 2x

Q: Evaluate the integral (9x2 +4x +2) dx

A:

Q: 3 dx 23.

A: Given:

Q: Evaluate the integral x³ - 3– 2x2 - 4 dx x3 -2x2

A: We have to find integration in this question.

Q: 38 Show that x² V2x – 3 dx - 35

A: use the formula below to evaluate the given integral.

Q: Evaluate the integral. 5) 5.7x 5 dx 9 - 4 A) -- In|9 - 7x |+ C B) -5 In|-9 + 7x | + c 5 C) In|-9 +…

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

Q: dx —3 (х-1)(х-2)

A: Given: ∫-331x-1x-2dx

Q: Prove that: 3-4x² dx 4VIn3

A: The given integral is I=∫0∞3-4x2dx. The idea is to evaluate the above integral using gamma function.…

Q: ne integral. 11 3 √x + 5dx = Please enter your answer two digits format(For xample: 3.14)]

A: