9. Use the comparison theorem to show that So L'√T- 10. Find √1 + x² dx ≤ Also show that ²√1 + x dx ≤ d dx S 5 1 I've 0 √1 + x dx ² √1 + x² dx) 1 1 + √t + cost 2 + et dt

Q: 2/5x+4=1/4x

A: Given 25x+4=14x ⇒2(4x)=5x+4⇒8x=5x+4⇒8x-5x=4⇒3x=4⇒x=43

Q: Find dx 7x 6

A:

Q: 8 dx 9x2 + 10x + 1

A: Given information: use partial fractions to evaluate ∫0789x2+10x+1dx Apply partial fractions to…

Q: L = ? s3- O 2/3 t^2 O 2 142 O 3/2 t^2 3t*2

A: Using the table of Laplace transformation, it can be written that: Ltn=n!sn+1.

Q: 2/3x+1/2=2/5

A:

Q: 3x + 10 dx x² + 2x + 5

A:

Q: x² + 4x - 4

A:

Q: 844 10f4 26400

A:

Q: 4/63 7x y

A: Simplify the given expression using the properties for exponents power rule. 3x6y34=3x6y314 fraction…

Q: 1 S- V9 81z2

A:

Q: Find the power. (4t2 + t/ t − 5)^2

A: 4t2+tt-52 We need to find the power of given expression.

Q: 2 3 Sźcsc(ln[5x²])cot(In[5x²])/csc(In[5x²]) + 5dx

A: To evaluate the following integral. ∫27x cscln5x2 cotln5x2 cscln5x2+53 dx

Q: dx Vx -9

A:

Q: 8 - 128x V81 - 64x2 "xp-

A:

Q: -dx 2x3/2 — Зх2

A: Given : ∫x2x32-3x2dx ∫x2x32-3x2dx = -∫x3x2-2x32dx Now, let us solve ∫x3x2-2x32dx Let us take  u=x⇒…

Q: x* +2y* %3D 3

A: Given differential equation is homogeneous do put y =  vx

Q: dx 7. 3/

A: To evaluate the integral: ∫dxx-x3 Solution: Given integral can be written as: ∫dxx-x3=∫dxx3x23-1 Let…

Q: 2 x 4/7

A: The correct answer is as below:

Q: -류 (19+7x) - 문 > 급 (2x+5) 뮤 ㄱ 규 Eurasia r

A: Given query is to solve the inequality.

Q: dx 9x-1

A:

Q: dx (4x?- 9) 3½

A:

Q: 5/4x + 3 = 1/4 + 1/4x

A: Given,  The equation is,               .

Q: 5/6+2/3x=3/4

A:

Q: -2

A:

Q: xdx z Vx – 1

A: To evaluate: I=∫210xdxx-1 Substitute x-1=u⇒x=u+1 & dx=du as x→2⇒u→1 & x→10⇒u→9 So,…

Q: 7x - 4 3 – – 4x 4x² dx

A:

Q: Evaluate 10 ļ 1 7ln x X dx.

A: NOTE: Refresh your page if you can't see any equations. . ................(1) substitue take…

Q: V9 – 4x2 dx

A:

Q: b. ] ] 6x²-2x-1 3 4x -X d -dx

A: