Q5. Sketch, evaluate, and reverse the integral: lí dy dx,

Q: Evaluate the ff. integrals using substitution: dx 1. S (5-2x)2

A: 1. Using substitution u=5-2x

Q: 14.1 dx V16-x dx 15. . Vx -1

A:

Q: 4x V1- x³ dx

A: We will evaluate the given integral.

Q: ve

A:

Q: Evaluate dx. /25 – x²

A: First of all, let x = 5 sin (u) and differentiate w.r.t x on both sides of the equation and find dx.

Q: dx Vx + a + Vx + b

A: Given: The integral is ∫xx+a+x+bdx

Q: 4. f In (2x + 1) dx =

A:

Q: Find the integral. -3 4Vx dx X.

A: Given,        ∫-3x3-4xdx

Q: 2 dx 43.

A: Given integral is

Q: -dx x +1 2 5.

A:

Q: (1 +Iпx) dx x3

A: The given integral is ∫1+ln xx3dx. Here, u=1+ln x  and  v=1x3.

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

A:

Q: Evaluate dx

A:

Q: 3. Evaluate ry? dz dr dy.

A:

Q: Q3. Evaluate : .. . ܬ 1 ? 2 +y? dy ன்

A: We have to evaluate the given integral.