dx + 6x y- dy 1 y = (x – a²C)³ (y – y²C)³ Option 1 Option 2 1 1 (y+ y²C)³ (x + x²C)³ Option 3 Option 4 1. ||

Q: xdx 5. I 4x 2 * – 4x +1

A: Given, ∫xdx4x4-4x2+1    ∫dx3x-73 We have to evaluate the integral

Q: f(3x² cot 2x³ csc 2x³) dx O-csc 2x³ + C CSC O csc 2x³ + C Ocsc 2x³ + C CSC O-csc 2x³ + C

A: We can solve as follows

Q: xydy – (y² – 3x²) dæ = 0

A:

Q: Solue! A Sx+ x-y) dx + x dy =0

A:

Q: Find x and y if (-3x - 9) + 4i = 6 + (3y - 2)i.

A: Given that,  (-3x - 9) + 4i = 6 + (3y - 2)i To solve for x and y, need to use below property of…

Q: 3x – 11 dr (x – 5)(x – 3) Evaluate + C

A:

Q: Зx2-7 dy 2х3+5 dx

A:

Q: dy If y = (5x + 1)(2x +In x), then will be %3D dx (5x + 1) +) + 5(2x+ In x) A. -1 B. (5x+ 1) - 2. +…

A: The given problem is to find the derivative of given function y=(5x+1)(2x-1+ln(x)) , we can use…

Q: d'y レ= Vx2 - 6Vx- 5; 3 5. ||

A:

Q: S Vi+ V2+3xdx

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

Q: d Differentiate (-16x-1 +4x + 2) when x dx

A:

Q: J 3x - 2 4x² + 4x + 17 dr

A: Breaking the numerator is the key here. After that, break the given function into two parts and then…

Q: Find dy : Note: subscripts indicate a different variable. a. y = 4x +7x} +2x,x, +4x² +5

A:

Q: X2 dx ex+3

A:

Q: Differentiate 4(x + 2y)2 = x2 + y2

A: given equation 4(x + 2y)2 = x2 + y2

Q: 5 x´ - 9 -9- +2)x dx X 5.

A:

Q: 1 dx x² + 6x + 9

A: We have to evaluate the integral: ∫1x2+6x+9dx Rewriting the integral,…

Q: 20+y dy 20-y -20

A:

Q: 5. (2x + 3V )dx 2х + 3уx

A:

Q: -5/2 y?-2y 4. -/2 - 2y 1/2

A:

Q: Vx² - 2x + 3 dx

A:

Q: 3y +5 (5y-7)2 dy

A: We can find the integration as below.

Q: 2x -9 9. Find +4x+13 dx.

A: Given:     ∫2x-9x2+4x+13dx            write  2x-9 as 2x+4-13 and split…

Q: 2 15х? -13 dx - 14х За +2

A: We will apply long division to solve integral

Q: cV9-x² ¢V9¬x² dz dy dx

A: Explanation of the answer is as follows

Q: dx 4. / TV²+ 4x – 4 4х — 4

A:

Q: / (3x - 3)(3x² - 6x +15)4 dx

A:

Q: -x + y -z = −17 2xy + z = 3x + 2y + z = (x, y, z) =

A: -x+y-z=-17......(1)2x-y+z=24......(2)3x+2y+z=16......(3)

Q: dy 9x2 + 5 dx ,2

A:

Q: (5Vx² – 4 4 3) dx 2,

A: Given data:     The given integral is: .   The given integral can be written as, Here, I1 is the…

Q: f 12x -9x +2 dx 3.

A:

Q: (x3-4) 2. S dx x3+2x2+2x

A: To evalaute: I=∫x3-4x3+2x2+2xdx=∫1-2x2+2x+4x3+2x2+2xdx=∫dx-∫2x2+2x+4x3+2x2+2xdx

Q: If 2x = xy + y2, then A. C. -2 + y x + 2y (2-y) x + 2y dx 11 B. D. -(2 + y) x + 2y -(-2+ y) x + 2xy

A:

Q: S (3×412メ -15)2 2dx

A: The integral is solved as follows :

Q: dy Find if dx y = (3x2 + 6x – vx)(5x + + 10). DO NOT SIMPLIFY.

A:

Q: Q. / 3sec3xtan3xdx sec3x +c -sec3x +c O None O tan3x +oс

A: