In 8 In y S S e*y dxdy x+y

Q: 3. Evaluate 1 2 SSx*y°dxdy 0 1

A:

Q: foo 0 dx e²x

A:

Q: fesch² (1- csch² (1+ 3x) dx

A: Hyperbolic function need to be integrated.

Q: 18. Find xV4x -3 dx 18. SxV4x - 3 dx

A: Use substitution to solve

Q: Evaluate using Table 1 or www.wolframalpha.com. x dx 4x2 – 12x + 9 8 33. dx 3x2 - 2x 34. dx 35. 36.…

A: As per company guidelines, I can solve only one questions in multiple given questions.

Q: 3 LS 2dydx = 4 %3D О 20 30 О 30 О 15

A: Integrate the given double integration in given order. First Integrate with respect to y and than…

Q: 24. S 3x² x + 8 x³ + 4x 3 dx

A:

Q: 1 x² +5 -dx 3√x

A: We need to find ∫x12+5x3dx

Q: 5. Evaluate 3x 4e³x -dx 3x e³x +1 S-

A: given integration ∫ 4e3xe3x+1dx

Q: Vin3 Vin3 dx dy

A:

Q: 47. 27 fx-VI+x-4 dx × 7.60306

A: To show 2π∫13x-11+x-4dx≈7.60306

Q: 15. Find x² (2x³ + 4)5 dx

A:

Q: 3 Sx³ e³x² dx

A:

Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.