2. (a) (b) (c) Evaluate the definite integral. S = 1 1 + t² 2 [² (²2-²3) dr dx dt 812 218 [² (2x − 3)(4x² + 1) dr - 0

Q: 1. 5x²+4x2-5 dx

A:

Q: dx x²(81+x*)3/4

A: Given integral is: I=∫dxx2(81+x4)34 Let us substitute:…

Q: 4x2+6x+1 dx (x+3)(x²+2x+2)

A: =?

Q: Find √√3 x² +3 x² +1 dx

A:

Q: Differentiate. y = In [(x + 4)(3x- 2)(5 – x)] d In (x+ 4)(3x – 2)(5- x))] = || dx

A: We have, It is known that the derivative of ln(ax) is, and derivative of the function of u.v form…

Q: s dx 20+ 8x - x²

A:

Q: IV. Exercises A. Solve the following integrals: (1) /20. (2) / (2e + 4"). da (3) 2(5") dr

A:

Q: x²dx 3 2 3 (5-x') 2.

A: