cos x -1 dx = ? 22n (a) (-1)". (2n) (2n)! 8. (b) (-1)". 22n+2 (2n+2).(2n+2)! n=1 n=1 2 19

Q: sin 3x cos 3x (cos 3x + 1)² dx 19) f 22) fex√3-4e2x dx 20) f ITV In x dx 21) f x√4 lnx-1 23)…

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: 1) x(x + 1) dx S (3) x² x² +9 dx (2) √ x(x x(x + 1)³ dx (4) (x² + 1) cos x dx

A: Disclaimer:  “Since you have posted a question with multiple sub-parts, we will solve the first…

Q: dy Q2) Solve x- 2y = x³ tan 2x dx

A:

Q: (a) [(0.6e15 + 4t 3t² +03-10-01 at 4t4-3t3 + 0.3 _10t 1.5 -0.1 2t3 (b) Evaluate…

A:

Q: Solve dy 2 dx - dy + 2y = 7 cos x + 5et dx -3-

A:

Q: cos 2x he ƒ -dx is 4+sin 2x {A} In|4 + sin 2x| + C {B} In|4 + sin 2x| + C {C}(4+sin 2x)² + C {D} -(4…

A:

Q: EVALUATE 3 x2 +1 cos dx -1 dx x2 +1 А. cos В. О C. 2/ cos 3 dæ x2 +1 D. 1

A:

Q: 2. - dy x³y*-2y dx

A: We have to solve given problem:

Q: 2 (x-4) dx = (S %3D 2.

A: Given : The definite integral is ∫02 ( x - 4 )2 dx .

Q: 7.5- yy - 9 4+9) dy -6- 8.S 1 dx e2x+ e-2x

A:

Q: 3. dy = (x - 3y)dx ans. 9y = 3x - 1 + ce 3

A:

Q: 5-(1+x')(dy-dx)= 2.xydx;

A:

Q: 3. Solve (x+y-1)dy = (x-y-3)dx

A: Given that(x+y-1)dy=(x-y-3)dxTo find solvesolution (x+y-1)dy=(x-y-3)dxdydx=x-y-3x+y-1Now x=x'+h and…

Q: cos 2x dx is (sin x+cos x) -1 A. sin x+ cos.x +C B. log sin.x+ cos.x +C C. log|sin.x-cos x| +C 1 D.…

A:

Q: [4] S (x + )´ dx [5] S cos²(2x)dx X. V1+x3 [6] S- dx r-2

A: To evaluate the integration of the following.

Q: 15. /7.- dt 16. x+ 3 dx P + f - 21 2r - &r

A: Solution:Given      ∫dtt3+t2-2tFormula:∫dxx=log x+C

Q: х(3ху — 4у3 + 6)dx + (x3 — бх?у — 1)dy — 0

A: A differential equation of the form Mdx+Ndy=0 is said to be exact differential equation if it…

Q: -(sin³(x) + sin (x³) ) dx A 3sin'x + cos (x³) B 3sin?rcos(x³) + 3xr?cos(x³) © 3sin?x + cos (3x²) D…

A:

Q: 1₁ f(x)dx = 6 ln([x]) - 6 ln(|x]) — -—-cos(5x). -cos(5x) - 3e + x² + 6x + C

A:

Q: 1 =dx = V81-(3x+5)? 2 3x+5 -tan- (***) + c 9 o 음sin-1 (3g5) +c 9 o tan-! (**5) +c o sin-l (초5) +c…

A:

Q: Evaluate D3(sinx – 4e) A cos x-32 ex B -cos x-32 e?x -sin x-32 ex sin x-32 e2x

A:

Q: sinx

A:

Q: 3. 4. 5. π X dx sin() co₂ (:) ª 2x - 1 4x1 dx 8. 9. (x-1) √x dx _2_2x dx 10. S√₁-2² a x dx

A:

Q: 2) (-4у + e-3*)dx %3D 4 dy

A:

Q: -9 4s4+s*V5-6 ds s4 1-cos? x dx sin x 2. 3.

A:

Q: 1/e -1/2 S 10x*-2(1-x²). exact value of dx 1/2

A: Given that

Q: x - 3 7. S V25- (x-2)2 dx 8. S tan5 (2) dy

A:

Q: 2+ X 50 -x + 4y dy dx 2-X

A:

Q: -16 dx 1. X=2 sec(e) 2. x= 2sin(e) 4-X dx 3. X= 4tan(e) 4. X= 4sec(e) SV16+ x² dx x²-4 dx

A: See the details solution in below

Q: 2 1. Z =- 1+x2 ; d²z/dx?

A: z=21+x2

Q: 4) [cos(2y) – 3x²y²]dx + [cos(2y) – 2xsin2y – 2x³y]dy = 0

A: Exact Differential equation

Q: d²y 10 9y = e3x + sin 3x dx2

A:

Q: || cos( 30-1 )d0:3 cos( 30-1 )d0>=S2.cos cos (30 -1) de

A:

Q: - 2r³+ 4x²+ 3 -dx is equivalent to x²(x²+ 1) 2x- + - 1 dx x?+1) 2x –1 dx x²+2, 3 B © /: 2x – 1 x+1…

A: Given problem:-

Q: (x-3y+2) dx +(3x+ 9y-12) dy -o 3.

A:

Q: cos x - 1 dx = ? (a) E(-1)". 22n (b) E(-1)"- 22n+2 (2n).(2n)! (2n+2).(2n+2)! n=1 n=l 22n+1 (2n…

A:

Q: 1. (6x + f²)dx + f(2x – 3f)df = 0 2. (cos2f – 3x²f?)dx = (-cos2f + 2x sin2f + 2x³f)df 3. (fe*f –…

A:

Q: d[cos(x*)] dx (2k+1)! (-1)*2,* - (2k)! .(-1)시2x4~2 (2k+1)! (-1)*2x*-3 E (2k+1)! None (-1)*-'2x*-1 E…

A:

Q: Find dy/dx 1. y= cos ( -2x -10) 2. y= cos³ -5x

A: We have to find derivative dy/dx.

Q: 1 3 X° cos 4- x2 dx + 2 2

A: We will find the value of definite integral as following.

Q: x² 1 arctan 16 2(x – 3) + 3 -dx = J (2x² – 6x + 13)² + c 2 x² – 6x + 13

A:

Q: L = {cos² (3t)} L = {e-#£} 1 s2+72 (s+3)³ 1. 2s 2 - 2s2+72 (s+3) 1 2 2s s2+72 (s+3)² 1 + 2s 2s2+72 2…

A:

Q: cos 2 dx O 32 -cos -5cos2 ()+7] + c 35 32 35 - cos(4)- 32 -cos) +c O 32 COS +C 스4

A: We have to find integral

Q: Find L{(t- 2) (3 cos 5t + 1)}. COS 3(s2-25) (s²+25)? 30 | s2 s2 +25 6. 3 g3 s2 s2 +25 s(s² +25) 6s…

A: Find the Laplace transform of  L{(t-2)(3cos5t+1)}

Q: Q-1: Integrate the fraction of functions: 1. f- 14a+1 2. sinx- V(1-x) 2-7x-4x2 dx 3. SE 1-sine dep.…

A:

Q: 1-x²-y² /1-x2-y2 1-х2 (x² + y²)dz dy dx -/1-x2

A:

Q: n/10 n/4 (1 + sin x)dx cos? x 1. 2. V1 + cos 5x dx (х - 3)dx x2-6x + 10 dx 2 4. 3.

A: Acc. to Bartleby guidelines, I am solving only 3 parts .  If you want more to be solved ,then upload…

Q: dy Зx+2у-5 dx 2х+у-3

A:

Q: In2| 4+ tan-'cos- dx 2 sin ( 1+cos | 4+ tan-'cos- 2sin- · In²| 4+ tan-'cos- dx 2 (A 1+cos- 4+…

A:

Q: 4. (6xy³ + 2y*)dx + (9x?y² + 8xy³)dy = 0 5. (у2 — 2ху + 6х) dх — (x? — 2ху + 2) dy — 0 When: x =…

A:

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.