S(e" +e")'dv -2v

Q: dy will be dx In x+1 If y = then 2x3 - 3x' (2x- 3x) +1)- (In x+ 1)(6x? – 3) (2x – 3x)? A. (2x - 3x)…

A: To find the dy/dx of the given function

Q: _11. What is Sdx? A. +C B. +x + C х-1 C. c. ++ 2x + C x(2x2+3x+6) + C x3 D. _12. In solving S th dx,…

A:

Q: 21 Sımplify khe Following 221E36)+5-Ei0 -36+5+10 -36+15 -21, 222. V2*+i|

A: Objective is to simplify.

Q: b 1+ e2x Evaluate the integral. ex xp 1 + e2x

A: Given that: ∫01ex1+e2xdx

Q: 23 4- [fe** dycdx ans :(e' - e' )(e² – e') 12

A:

Q: d If g(x)=- -S*[e' - In (21+1)]dt, find g(x) Se dx 4 A (2x+1)² 4 B e+ (2x + 1)² Ⓒe* -In (2x+1) 2 D…

A:

Q: y' - y y2

A:

Q: Q6) Compute the integral 3 1 dxp -з (х +2)3

A: Here we solve the given integral.

Q: For z > 0, 옮(1 In (t³ + 1) dt A) In (x³ + 1) B) In (8z³ + 1) c) 2 In (z³ + 1) 2 In (z² + 1) D) 2 In…

A: Solution: Consider the given that; ddx∫02xlnt3+1dt We have Leibnitz Rule: ddx∫a(x)b(x)f(x,t)dt =…

Q: 36 – y8 -dy y5 Integrate:

A: SOLUTION-

Q: Find solution of the problem in the form of the normal mode u * eo-xlc) and discuss the result a²u…

A: Given that : u=eiw(t-xc) Simplify it, we get : u=eiwt.e-iwxc. We know that : eiθ=cosθ+i.sinθ .…

Q: If z + In(e3* - e + e²) = 0 dz find at the point (0, 0) -3 -2 3. 2.

A:

Q: integral p2 In p dp

A: we need to find the integral of p2 In p dp. Since the above integration is  a product of two…

Q: | Va(In(x))° dr (ax) 1.

A: We find the integration by substitution.

Q: - S e-ttat1-1 dt a # 1 a '0

A: We use the definition of the Gamma Function to solve the given question.

Q: 1 F(s) %3D 2 s+1 s+3 (s+2) 6 F(s) = e-s (s² +4).

A:

Q: Use linear approximation to approximate e.03 О 1.03

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Q: a) [ Evaluate the integral 4x - 1 (x + 2)(2x - 1) S -dx.

A:

Q: A- Find the integrating factor of the following D.E 2

A: a) Here we have to find the integrating factor of given differential equation:-  We have,  Compare…

Q: 2. Z=e Iny

A: Given that, z = ex ln y x = ln (u cos v) y = u sin v We have to fin dz/du and dz/dv. Then we get,…

Q: 1. Integral e-9x dx

A: We have to solve above integral

Q: 3. Derive the reductive formula for S sec" (x) dx.

A: We will find out the required solution.

Q: d [e'- In (21+1)]dt, find g(x) . dx -2 A ex-In(2x+1) 2 B ex_ (2x + 1)2 4 C (2x + 1)² 4 D (2x + 1)²…

A:

Q: If 8(x) = [e²-m (21+ - dx S[e²-In (21+1) ]dt, find g(x). -2 A e-In(2x+1) 4 B (2x + 1)² 2 Ⓒ (2x + 1)²…

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Q: 4 Σ E Vn +1 n=-1

A:

Q: (4) Evaluate : + yz') dV if Q= {(x, y,z): x:[-1, 1], y:[3, 4], z:[0, 2]}

A:

Q: ues of M = 1

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Q: (-1)" S. =È D n=1 Vn +1

A:

Q: Compute dx using the techniques as presented in class and in our textbook. Show all 2x +5x-3 the…

A: we first factor the denominator

Q: If g(x) = - - S^*[e'- In(2t+1)]dt, find g'(x) . dx A ex-In(2x+1) 4 B

A: We can solve this as follows:

Q: 5. Evaluate by using beta function: | °(1 – r*)} dx.

A:

Q: Evaluate the integral. 3x-7 (a) S- dx x2-2x-8

A: Answer and explanation is given below..

Q: 1 d) 2r- dz - r e² – e-z e) J ez +e-z° rp- In 3 f) 1 ez +e-z Ip-

A:

Q: dy y(ln y- In a+1) dx 1 C = -In 1 C = In O Option 2 Option 1 1 C =-In None of the choices O Option 4

A:

Q: 6. 81n V81 - 81 – x²dx 4 A. Show that B. Use (A) to evaluate In 4 (e2x – e*) /81 – (e* – 1)* dx. - -

A:

Q: Q5: S x dx ajconverges to 1 bjconverges to cconverges to- 4. d)diverges 25-2

A:

Q: e -dx = x2 e Find c. 2 If Зе c = In 2 2 c = In(들) In(을) C e르2

A: our objective is to find the c.

Q: d If g(x)=- S* [e²-In (21+1) ]dt, find g(x). -2 2 (2x + 1)2 4 B (2x + 1)² Ⓒe-In(2x+1) 4 (2x + 1)² di…

A: A function is given by, gx=ddx∫-2xet-ln2t+1dt. The objective is to find the second derivative g''x…

Q: T + : 0 UCt )=3€-30€ +72 act)= 6t-30 When is the particle speeding up?

A: A particle is said to be speeding up on the time interval (a,b) iff the acceleration function…

Q: Compute the integral 4x /5 – e2¤ dx. e

A:

Q: E valvate cox³ (x²+3)dx 2.

A:

Q: Differentiate the function

A: Recall the following facts on differentiation.

Q: prove that d/dx xn=nxn-1

A: To proveddxxn=nxn-1

Q: 9- m2 Evaluate S, – m² V9- m2 - n2 8ax (n2 + x2) dx dn dm E A B I E E P Type here to search II

A:

Q: 2. Integral A e3A dA

A: