- In x (7) S dx 5 (8) Í dx 4 4+x (9) [xV1-2x dx

Q: 16 (1.) 2XInX 2 dy/dx (2. if 4 = cosh 2 JX +1 %3D 213 dx (3.) 4+x2

A: Question 1 is solved by substitution method. Solving other questions are against the policy of…

Q: 2. Evaluate the integral 4 dx V2x-5 5/2

A:

Q: 5. 6. Sexcos2x dx |— S- dx 3 (x + 2)² − (x+2) ² -

A:

Q: Differentiate. y= In [(x + 4)(5x– 6)(3 – x)] d dy In ((x+ 4)(5x – 6)(3–x))) = |

A: Given: To find: The derivative of the given function.

Q: find integral x3 3) S dx /1-x²

A: We have to find the indefinite integral

Q: Thank you :D

A:

Q: 2-x 4x + 4x - -m(4x* + 4x – 3) + In| (2x 2x- – 3 x +1 x(x + 3)(x + 2)(x – 1) 1 (x + 3)*(x – 1)ª I…

A:

Q: 16 4+x² dy when y = Find 4 – x² dx dy dx

A:

Q: Find dy dx 2 for x²exy = 5 WA/

A:

Q: 18. S V1+x dx 1-х

A:

Q: If y=3(−7x^2+7x+1)^13, then      dy/dx=

A: Given:- y= 3(-7x2+7x+1)13 To find :- dy/dx

Q: If y = 3 then dy/dx = 4+x O -6x/ (4 + x² )2 O 3x/ (4 + x² )² O 6x/ (4 + x² )2 O -31 (4 + x? )?

A:

Q: 7. (2x + 3y)dx + (3x + 2)dy = 0 When: x = 3, y = 2

A:

Q: 1. Evaluate the integral 5x + 1 dx 2x2 - x -1

A: We can evaluate the given integral by using the partial fraction method.

Q: 1 What is S dx? x²+2x+5

A:

Q: 2. (8x³cscx++y+ 2y²sin²x)dx+ (x+2xy – ysin2x) dy=0

A:

Q: 3. Find a result by using homogenous for (x³ - 3x²y)dx- (x³y³)dy = 0

A: According to guidelines I have to provide answer only for  first qiestion...Thanks

Q: Example 3: Estimate S, x² dx with n=4 by Midpoint Method. Solution:

A: Here first we will divide the integral range into 4 equal parts and then we will calculate the…

Q: Can you help with this problem step by step?

A: We need to compute the given integral.

Q: 2 Find So (3x2 + 4y³) dy dx.

A: Topic:- double integration

Q: 8. 5x* + -- * ) dx +2 (x³ + In x – e*) dy = 0; y (1) = 0 %3D

A: Differential equation solved by using integrating factor

Q: Find dy/dx if y = 3x® – 2x³ + 6x + 1.

A: Solution

Q: find dy dx 15 In 4+ xe) 6

A: dlnax+bdx = a.1ax+b.

Q: x7= - 3x + 18 JZ - 54 in (3+ 57) + c 3/2 2 dx = %3D 3 + VX 3

A:

Q: x- 3y – 7)dx – (2x – 4v – 8)dy= 0

A:

Q: (x+5) dy dx+ (x+5) dy dx+ 1-x2 14. 0, L 4-x2 (x+5) dy dx 0.

A:

Q: 8. (a) Show that (b) Evaluato 1/3 3 √1+9x² -4x4 dx dx = ln(1 + √2).

A:

Q: dy - 3x2 + 4 y = In ² x – In x dx dx

A:

Q: 2 1. Z =- 1+x2 ; d²z/dx?

A: z=21+x2

Q: 15) 4S(5x)] = x² , then f'(x) = ? %3D dx

A:

Q: 2 If "IF(x)dx=6 and frox)dx=7.50mm [rodr then f(x) dx = 5

A:

Q: 1. Integrate: dx x2+7x+6

A:

Q: 3. Find the integral. 2x dx x2 + 10x + 29 а.

A:

Q: 1. Evaluate the integral 2 dx x2 +4x + 20

A:

Q: 18. Show that Vxª + x and Vx* x→o by showing that they both grow at the same rate as x² as x' grow…

A:

Q: 5. fx² In x dx

A: See the details solution in below

Q: 4. Find 3x 2t dx/e²t dt

A:

Q: -2 3. Integrate: [8x°e"-2 dx = du - e* 4x°dx 2 du = dex?. 4x° dx 4 3 2ou 8 ex".x°dx

A:

Q: dx 1. S. 2x-x2 if y = x° (In x)? . dx 3. S x³e-* dx . 2.

A: Note : as per our guidelines we are supposed to answer only one question if there are multiple…

Q: 1- [(2x – 5)/3x – 1) dx | 2- S S(x3 – 10 + 3y² dy dx

A:

Q: 1. Evaluate : S (4x* + dx 2 S"(4x³ +)dx 0. x+1

A:

Q: 2 - S tần² (3x)sec²(3x)dx

A:

Q: 26. = 2xy² + 3x²y², y(1) = -1 dx dy 27 -7

A:

Q: Sx² cos (x3 + 3) Van (x3• 3) dx + 3) Vsin (x3+ 3) dx 1)

A:

Q: 1. Evaluate the integrals that converge: dx 2x ! dx (x2 + 5)3 b) a) 3-x - 00

A:

Q: In ( x² + 3x -=-7) dx X-2 Evaluate the integral: Se Ⓒ + A x² 2 =+ + In|3x-6|+C ℗ +² +5x+3n|x-2/+C B…

A: To find out the integration.

Q: (3x+5) dx x3 –x² –x+1

A: Consider the provided question,

Q: 2x²-3x + 10 dx (x²+4)2

A: The objective of the question is evaluate the indefinite integral.

Q: 1. Non-Exact DE (4x2 — 4ху + Зу? + 2х — Зу)dx + х (2х — 2у + 1)dy %0

A: