proof that d sech u Sech u tanhu. du dx dx

Q: 1 dx r+x ln (x)

A:

Q: Sinx y dydx

A: Apply power rule∫xn dx=xn+1n+1 with n=1∫0sin xy dy=y22               =[y22]0sin x…

Q: Find the antiderivative of the functions. S 6x dx S(12x - 5)dx S 3dx S(2x2 + 3)dx 1.) 2.) 3.) 4.)…

A: 1. ∫6x dx2. ∫12x-5dx3. ∫3 dx

Q: sech Vt tanh V dt Vi

A: Given : Intergral sech √t tanh √t dt / √t

Q: Evaluate [ = dx. xVx* -1 (a)

A:

Q: 2. dx Ix Also, Prove that 22 %3D dxdj = dy dX

A:

Q: Choose the statement below that is FALSE (only 1 is false) and piein why it is taise. \a (x+ 2)² 6 #…

A:

Q: Describe why the statement is incorrect

A:

Q: 7 1 = xp- Зх-2 du 5. 2 O True O False

A: Given query is to find statement is true or false.

Q: ex dx 25. - ex+1

A: ∫exdxex+1

Q: 3 4 dx . (5+2x)' 3. Evaluate

A:

Q: It is known that dx Compute . Simplify the final answer. 2х-у dx

A:

Q: (In x)2 e. d. *dx p, 2x

A:

Q: 2. Evaluate xy(z + 2) dx dy dz 1J0

A:

Q: 1 dx. Evaluate J1 (x+2)(2x+3)

A:

Q: dx

A:

Q: +y Evaluate dz dy dx 20 3 0 -3 0 00 -10 -4 0 10 -2 0

A:

Q: True or false? 3. xex dx diverge 10- False True

A: evaluate the intregal

Q: cot2 dx

A: Our Aim is to integrate ∫cot2 (x) dx-(i)

Q: NITRO 5 Slot FHD HO 18x( x*+5)dx

A:

Q: 2nlne ne éé dy dx ere

A: Given integration is : ∫0lnln8∫y=exln8exeydydx To find the value of given integration.

Q: dx 3) /1+ Va

A: Here I am attaching image so that you understand each and every step.

Q: dy d. dx = y(xy3 – 1)

A:

Q: 5x *(x+2) 3

A:

Q: 1 dx 2 21+2*2 ху

A:

Q: r(4) r (3.5) ア - x * 」

A: We will solve the problem using GAMMA FUNCTION.

Q: 1) 3 )dx

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

Q: y-Castesinz şinz

A: The detailed solution is as follows below:

Q: Pove Sech (u) du tanh (u)

A:

Q: Let y = 4**-2x+3. Find d²y - dx2°

A:

Q: Exercies: 1) Show that 21 x P(x) P-1(x) dx = 412-1

A: