O (3³.3.32 + [23 [33 + Which shows the correct integration of 3.2² − +3•2+3In|2−1|]—[3³ + 2 3.3² 1333 +3•3+31n|3−1|]–[2³ +³•2² +3+2+3In|2−1|] [23+3.2² 3.3² 2 3 3x³ - +3In|3 − 1 |]—[2³ +³ +3In/2-11] 3.2² 2 2 +31n/2-11-13³+3+32 +3in/3-11 -dx? x-1 +3.3+3ln|3-1]

Q: value of ∑n=1∞(6an+9bn) if ∑n=1∞an=8 and ∑n=1∞bn=2.

A:

Q: Evaluate the integral -9f5 dt /1² +2

A:

Q: For how many different positive integer values of m does (mx - 10)^2 = 0 have integer solutions ?

A:

Q: Find A and B such that 2x-1/(x+1)(3x+2) = A/x+1 + B/3x+2

A:

Q: b.) (x +3) : =(x +2) %3D 215

A: Here we have to find the value x=?  13x+3=25x+2

Q: 2sin2t=4sint+6 [0,2pi)

A: Answer and explanation is given below..

Q: Let_Z1 = 3 + i and Z2 = 5 + 2 i . Find 2 Z1 /( Z1 - Z2) - (14/5)-2 i O (14/5) + 2i O - (14 / 5) + (…

A: Topic = Complex number

Q: Find an integer coefficient cubic that has x = 1 and x = 2+ /3 as zeros.

A: Given: The two zeros of a cubic polynomial are x=1 and x=2+3.

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

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

Q: 2. (3x+5)+(2x – 3)

A:

Q: the smallest possibl product of the two numbers x>= 0 and y<= 0, such that 2x-y=120 is:

A: Let x and y be two numbers such that  x≥0,y≤0, 2x-y=120y=2x-120

Q: 6. + 6x) + (In x - 2)y' = 0

A: Given : yx+6x+(lnx-2)y'=0

Q: tion 10 37 = 1 8z + 9 or z:

A:

Q: хt — х +6 dx х3 + Зх

A: We shall use polynomial long division method to simplify our integrand.

Q: (1 1x +15x* – 17x³ – 6x² + 7x – 4)dx -3

A:

Q: Find L - (8+3)3] 7 12 O 9t%e-3t O 6te3t O 6t?e-3t O 6t2

A: Use property of inverse laplace transform

Q: Given y=63x+1, find y". A 3x(3x+1)63x-1 B (9)63*+1 © 63x+1 D (3in6)263*+1

A: Given, y =63x+1 then y'' = ?

Q: 2 x -dx 6. Jo 1-x

A:

Q: Evaluate az+1)in(d.r+1)dr. 1 dx.

A: The integration function is ∫14x+1ln4x+1dx

Q: Express the sum cos 3x + cos 2x as a product.

A: the given sum is: cos 3x+cos 2x we have to express the given sum as a product.

Q: Evaluate the following x4 + 4x³ + 7x² + 17x – 9 -dx | 1. x3 + 2x2 – 3.x

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find all possible pairs of integers x, y so that 7x + 3y = 4. Then find which of these pairs makes…

A: Given:   7x+3y=4                        ........(1) We have to find all possible pairs of integers…

Q: The product of x* + x3 + 2x? and 2x² + 4x + 6 in z, [x]/ is:

A:

Q: E Show that x'+ 3x+ 2 has 4 zerosin Ze

A:

Q: find w., of ((1+ 2i) + (3 – 4i)) 7

A: Given that, 1+2i+3-4i12