b) Use the Midpoint rule with n = 5 to approximate the integral ₁2 dx

Q: Find: A. (x₂+2x)dx [12xdx B.

A:

Q: Find ∫√(2x − 1) dx.

A: Given:

Q: S. FInd (4x3 + 3x2 – 2x + 1)dx ·

A: The given integral is as follows:  ∫014x3+3x2-2x+1dx We shall evaluate the value of the integral…

Q: dx (9 – 4.x²)³/2 2,3/2

A: Given: The integral is ∫dx9-4x232. To find: Value of the integral.

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

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

Q: Evaluate: d/dx [(x/7) + 7]

A:

Q: In(xy)+8x =35

A:

Q: 1 Evaluate : dx. (1+x)Vx -x X-X

A:

Q: 5. Determine the average value of f(x) over the interval from x = a to x = b, where a) f (x) = x²; a…

A:

Q: Find y in terms of x given that (1+ x) = x²y and that y = 2 when x = 1. dx

A: The given differential equation can be simplified as shown below: (1+x)dydx=x2y     ⇒…

Q: show that ē ** Jo(bx) dx = %3D 8.

A:

Q: Find dx5 d³y for y = sinh(4x²) – /coth(6x³) %3D

A:

Q: Evaluate 4xcos 3x dx by using integration by part.

A:

Q: dr Find if r (x) = 9x 2 + 5x – 3. dx

A: Given,            r(x) = 9x2 + 5x - 3

Q: 4 7 dx x2 – 9

A: Given, ∫047x2-9dx

Q: 2. f sec² x etanx dx

A: Given: ∫sec2x etanxdx We need to solve the above integration.

Q: 3. v+ 4)(v² + 8y)}v\y² + 8y – 1 dy y²+ 8y- 1 dy

A:

Q: ㅠ -π sec xdx. 3

A: