.Use integration by parts to evaluate the following integrals: a) fx² In x dx b) S- x dx (Partial fraction)

Q: S- 3 x-9

A: Use the substitution method and simplify than integrate.

Q: (a-5)

A: Solve the (a-5)6

Q: 48y3 - 27y

A:

Q: 1.25a +3> 0.5a-6 and 2.5a 129-1.5a

A:

Q: 3(n-2)=36

A: Simplification

Q: x3 - 64 by x - 4

A: x3-64x-4

Q: Simplify. 8(2x³y-3x)-x+5 O 16x³y - 24x O 16x³y - 4x + 5 10x5y - 32x + 40 16x³y - 25x + 5

A:

Q: 9 – 4x > –3

A: The given inequality is 9-4x>-3

Q: 2 2/3 X 5/8

A: Given that  22/3*5/8

Q: 5 x²ỹ+ 3xỹ + 5y = In (x)

A: Solution

Q: 3 dx 9

A: The given integral is: I=∫x3x2-9dx

Q: (a-5)

A: Given:            (a−5)6

Q: 4(5+6)=

A: Given: 4(5+6)=

Q: 2x X 5) i dydx y 1 x

A:

Q: 4/2-6/8

A:

Q: -11/6+3/4

A:

Q: w + (-7), when w = - 1

A: The expression is given by w+(-7) To evaluate: The value of the expression when w=-1.

Q: limx→- f(x) limo+ f(x) limx→ = = =

A:

Q: (4x)2

A: To evaluate(4x)2

Q: 2. X8x+5 (4x22 2.

A: Here we have,  a) 2xy2×8x4y5b) 4x2y32

Q: 2. -ў — 2у %3D 6

A: answer is in next step

Q: X5 y / x4 y6

A: Given: x5yx4y6

Q: 2/21 + -2/9.

A: 221+−29

Q: d.x V1– x10

A:

Q: 4 1 x-1 4 | 45. +3 x-1

A:

Q: 4 Find x. 2x -10 14

A: Given a circle with two chords intersecting each other. To find x

Q: 1) 6dx 3/3

A: ∫33361+x2dx=6∫33311+x2dx=6tan-1x333=6tan-13-tan-133=6tan-13-tan-113=6π3-π6=2π-π=π

Q: (a-5)

A: We have to find the value of: a-56

Q: -5/9 + 1/2

A: The given expression is

Q: limx→2 f(x) = lim, ¹x→−1+ f(x) =

A: Given graph of the function fx is   1. Find :  limx→2 fx. 2. Find :limx→-1+ fx.

Q: -3 -2 -1 1 2 0000000 3.

A:

Q: /2 2. 1/2

A: (a12+b12)(2a12-3b12)=2a12a12+2a12b12-3a12b12-3b12b12=2a+2a12b12-3a12b12-3b=2a-a12b12-3b

Q: (a-5)

A: Given :- (a–5)6 Using Formula :- (a–b)3 = a3–b3–3a2b+3ab2

Q: -2 -4 and D = 4 8

A:

Q: S- 3+ Vx

A:

Q: simplify.5(xy - 7)+ xy + 40- x to the power 2

A: Simplifying:

Q: b. V3x -11= x+1 ,2

A: Solving on graph