For the integral 4x /x + 8dx, if we use the substitutio 3 u = x + 8, we can rewrite the integral in terms of the variable u. du

Q: Find or evaluate the integral by completing the square.

A: Consider the polynomial: ax2+bx+c. We try to obtain an expression of the form, kx+d2+e from the…

Q: 4x V1- x³ dx

A: We will evaluate the given integral.

Q: -3xdx 8. S: 2x+1

A: The given integral is; -3x/√(2x+1).

Q: x+4 Calculate the integral 7x+6x-x2

A:

Q: Differentiate y = xV A. 2Vx (2+In x) В. (2+In x) VX C. 2vx 2V (2 – In x) | D. 2V (2 + In x)

A:

Q: Let z = 1+ i, simplify and write final result as x + iy.

A: The given data is: z=-1+i To simplify z5z¯8 and write the final result as x+iy.

Q: Q3/ Evaluate the following integral and simplify it into the final form: x-6x-2x-3x+4 x'+2x+3

A:

Q: Evaluate the integral ∫dx / x+3√x.

A:

Q: Find or evaluate the integral by completing the square.

A: Our Aim is to evaluate the integral given below :-∫1-x2-4xdx -(i)

Q: Evaluate 3 (9x² – 2x + 1)dx 1

A: Given:∫13 9x2-2x+1 dxIntegrating formula:∫xn dx=xn+1+C

Q: dx :Vx2 -1 1

A:

Q: 2 X 2 X 0+ - 4 +4 dx =

A: C+C

Q: 1/3y+4=1/5y

A:

Q: (sec² (sec²(t) i + t(t² + 1)³ j + t7 In(t) k) dt

A: Vector integration

Q: Evaluate the integral 2x + 5) (x² + 5x + 9) ³dx by making the substitution u = x² + 5x +9. + C NOTE:…

A: ∫xndx=xn+1n+1+cdxndx=nxn-1let x2+5x+9=u

Q: Evaluate the integral 1 xp- 9x² + 6x – 8 by first completing the square and using the substitution u…

A: The given integral is: ∫19x2+6x-8dx To evaluate this integral, first, make the square by adding and…