Question 21 Which of the following integrals is equal to (3x – 5) dx if u= 3x – 7? A @ :/ (u-2) du (u+2) du 8/3 O :/ (u+2) du

Q: 2 (In x)² x3 da

A: Introduction: The definite integral of any function can be expressed either as the limit of a sum…

Q: 1 (2x-3)4 4. S dx

A: Follow the procedure given below.

Q: 3 + 2/5x-3 dx. Find 4x+1 - Vez

A:

Q: 3. (2 + ln x)³ √ (2+1) X A. (2 + ln x) 4 +C -dx C. (2 + Inx)³ + C 4 {1tinx? Syn (2+1mx) +C 20 B. (2…

A: We can solve the integral using substitution method. Here we substitute 2+lnx by z and then apply…

Q: 1. . x + 4 dx x² + 5x – 6

A:

Q: 5. Solve for x² − x+6 x³ + 3x 1³ dx.

A:

Q: (2x³-9x²+2) dx from x = 6 to x = 11

A: Given: ∫2x3-9x2+2dx   from x=6 to x=11

Q: x²+ 4x-5)ax 65 A 50 B 73 80

A:

Q: Find √√3 x² +3 x² +1 dx

A:

Q: If a= 1/x + 1/y, what is the value of 1/a?

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Q: Find dy/dx. y = __2x + 3)3__ (4x 2 − 1)8

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Q: 1 dx J 2/3 (1+ x/3)

A:

Q: (In x)² dx 3r

A:

Q: 1. [(2x-3) (4x2– 12x)* dx

A:

Q: 2. ſ xºcos(4x)dx

A: ∫x0 cos4xdx

Q: 13) Calculate definite integral. Give answer as a fraction in lowest terms (x2 – 2x-3 + 3)dx

A: We will use integration rules

Q: 1/3 + 4y/6 = 2/3 Show your work

A: The given equation is 13+4y6=23To solve for the value of y

Q: 2. f (√x - 72 dx

A:

Q: 3r -

A: ∫12dx3x-2Find the Integral value.

Q: Compute 1 2te-82 dx. x4

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Q: 1). L,(3 – x)² dx

A: The given definite integral is ∫-123-x2 dx

Q: 2.x +1 dx. J 6x +x-15 (ii)

A: