e2x dx= 1+e* xp- e2x – In(1 + e*) + C e2x + -In(1+e*) + C B (C) ex – In(1+ e*) + C D 2e2x – In(1+ e*) + c A

Q: W Airport E -0° X = X

A:

Q: 2x+ 11 3 3 1 dx - X +3 Consider Idx - evaluate dx = x2 + x- 6 X- 2 X-2 x+3 x+3 In +C (x- 2)3 X-2 In…

A:

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: dN1 N1 (2 – N1 – 2N2) = f(N1, N2), dt (1) dN2 = N2(3 – N2 – 3N1) = 9(N1, N2), dt where N1 = N1(t)…

A: Please check step 2 for the solution.!

Q: 3x4+6x3-3x² - 6x + In 2-2x-In O x2−2x 2 -dx¹ (x-1) 1/6(x+2) 16/3 (x+1) 1/2 (x-1) 1/6(x+2) 16/3 (x+1)…

A:

Q: Integrate O O-√√25-x² + C O X 25 – x² 25 - x² + C 25 - x² 2 O √25x² 2 - + C + C dx.

A: Consider the integral  ∫x25-x2dx   Formula  ∫xndx =xn+1n+1+c

Q: Find [4x³ (In x)² dx. O A. 1.4 X x In²x + In x + O B. x² ln² x - ln x + O C. x ln x O D. x ln x X 2…

A: Note : according to our gauideline, i can solve oy first so please reroute the remaining question.…

Q: * 5.8x √4x²+5 dx 2(4x²+5)³/2 A. +C 3 O A. OB. O C. * 6. f 35x-1 A. 35x-1 In 3 O A B 5x-1 dx C + C…

A:

Q: x² + 2x- 10 (2x+4)+ 1) Consider dx evaluate x² (x² + 4x+ 5) (2x+4) + 1) dx- x2 + 4x +5) x2 x2 + 4x+5…

A: We want to evaluate the integral ∫2x - 2x2 - (2x+4)+1x2+4x+5dx

Q: 3. A machine has n components, the lifetimes of which are independent. However the whole machine…

A: Since you have asked multiple question, according to our guidelines we will solve the first question…

Q: *dx 2x- In Ixl+ C 1 x² - In Ixl+ C | 2x 4 In Ixl+ C x² – 4 In Ix| + C O A В E None of the Above

A:

Q: dy -is If y = In(x-5), then dx 4x x-5 4. 3x 4 x-5 4x 3. 4x +5

A:

Q: & 38. Evaluate: √x dx A. x4/3 + C 3 4 C. ³x5/3+C B. x³/4 + C D.x3/5 + C 39. Evaluate: fx(4x - 3)dx…

A:

Q: b) f(x) = e-2x – x In x + x – 7 e*-e-x c) f(x) : ex+e¬x

A:

Q: L(e-3t)= %3D 1 s2- 3 1 .bO s2+3 S-3 1 .dO s +3 1.

A: We can solve it by definition of Laplace method Consider Le-3t = ∫0∞e-ste-3tdt=∫0∞e-(s+3)tdt=…

Q: x² +2x +3 dx x' +3x² + 9x A In Ix³ + 3x² + 9xl + C ! In Ix3 + 3x2 + 9xl + C 4 3. D 2 In I x3 + 3x² +…

A:

Q: 10x – 2 - dx . (x + 1)(5x² – 2x + 1) 16. Evaluate 5x - A) hx +1|+ n|5x² – 2x + 1|– tan +C 5x- B) Inx…

A:

Q: 2 x³ dx -6 √x²-9 Evaluate O44√3 24√/3 34√5 34√3

A:

Q: (x-4x² +7x–9 - dx x-3 A x3 * - 4x + 3 In Ix-3 I + C C x3 * + 4x + 3 In Ix-31 + C B x3 x? D x3 x? +…

A:

Q: dy (y2+In2)=-(23+) %3|

A:

Q: x,x→X,x mysa rft bns astemee a.s. X→X=Xn→X

A:

Q: -2x dx 7. Evaluate (1–x)' A. x' + 6x - In(1-x)" +, -(1-x)* +C C. x' +6x + In(1-x)' +, (1-x) +c 1-X…

A: See the details solution in below

Q: Seaet =1+ e* + e3x + e(n+1)x enx +esx. n! sx € (0,e*) | ... 2 (п + 1)!"

A: we know that ex=1+x+x22!+x33!+........................+xnn!                      ..1

Q: e a. y; = +e-2= In(e" +1) +e-* In(e" + 1) – 6 2 b. Y, = re2" + e In(1 + e") – e2" In(1+ e") C. Y; =…

A: Option (a) is correct.   See the solution in the attachment.

Q: 2-x Evaluate: dx 4x2+4x-3 긍 Im4x2 + 4x-31 + |2х-1 +C C.긍 I미4x2 + 4x-31 +. |2x+1 +C In In 12x+3 16…

A: We will use some adjustment and partial fraction method to solve this.

Q: (2x+4) + 1 x² +2x- 10 dx = x² (x² + 4x +5) (2x +4) +1) dx- x² + 4x+5, Consider dx evaluate | x² + 4x…

A:

Q: Find: S x² √√x – 3 dx =? A. (x-3) - (x − 3) ²/7 = 2 − 3)² + 6(x − 3)² + c B. ² (x − 3) − § (x − 3) %…

A:

Q: Outcome/s: Max Z = -X1 + X2 + 2X3 ST: X1 +2X2 - X3 s 20 -2X, + 4X2 + 2X, s 60 2X1 +3X2+ X3 s 50 X1.…

A:

Q: The total public debt D (in trillions of dollars) in the United States at the beginning of each year…

A: Given : t D 0 5.6 1 5.842 2 6.148 3 6.518 4 6.952 5 7.45 6 8.012 7 8.368 8…

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

A:

Q: a. b. dx x+2x³ In S is Inx In 2x² + 1| + C X C √ √2x² + 1 + ₁ C. d. In|2x² + 1 1 + C In x + In|2x² +…

A: Given problem:-

Q: 3x e 1+e³x 13. What is the best substitution to make to evaluate S O u = 3x Ou = e³x Ou=1+e³x O u =…

A: A detailed solution is given below.

Q: x² + 2x- 10 (2 dx = x² (x² + 4x + 5) (2x + 4) + 1) (2x+ 4) +1) x2 + 4x + 5 x2 2 Consider dx -…

A:

Q: 2х + A A. If dx = In [g(x)| + C then x2 + 4x + 5 A = and g(x) = 2х + B В. If dx = In |g(x)| – tan¬…

A:

Q: 23. What is dx? 3 – e4r e2z + V3 In e2r + V3 In |e2x а. +C C. +C 2 e2x – V3 V3 /3. b. V3 +C V3 +C 2x…

A:

Q: dx 4. S хV25-х2 5+Vx2-25 + C а. 5+Vx2-25 b. In + C c. --In 5+v25-x2 + C с. 5 d. None of the above

A:

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: 8) y = (x² + 3)ln 4x5 dy (x² + 3) · dx 2x² In 4x° + 5x² + 15 1 - 20x + In 4x³ · 2x 4x A) dy 2х + 1…

A:

Q: 故(x3+5) ex A al d Iny d in5x

A: According to our guidelines we can answer only three subparts, or first question and rest can be…

Q: 7) -U(X-2)(x+3)" (5x-1)(7x+ 2) 3х+13 6) 57 In7x+2+c) (ans.: In 5x 2х -3 7)Sー (ans.: -Im,x-1+ Im,x-2-…

A: ∫1ax+b dx =1alnax+b+C Note :As per our guidelines , we can solve first question .Please repost…

Q: • In4 Evaluate: S„n* Sn³ n2 e-x+y+z_dx dy dz

A:

Q: (D-9)y 3e" +x-sin 4x. 3 1 A. y C,e*+C,e* +e* +÷x- sin 4x 25 -3x 8 3 1 B. y Ce* +C,e-* +e* -x- sin 4x…

A:

Q: III. Elimination of Arbitrary constant. 3. xcos(xy)+ e* In y = c

A:

Q: Transforming S Ⓒ √ 2²-22²2 =2 A -dz 1+z² z²+z B -dz 1- © S с © S D N dx using miscellaneous…

A:

Q: 8) F(s)=³-ks² 2 Ans. f(1) =2(e"-1)-! k

A: Solve the following

Q: Evaluate the definite integral

A: Given,

Q: Show that So e-ax J₁ (bx) dx= 1 √(a³ + b³)³ (a > 0)

A:

Q: X – 2 In(x + 2) – In y = 1ln c x = In c + In(x + 2)² + In y x = In[c(x + 2)²y] e* = eln[c(x+2)²y]…

A: As we know that the logarithmic property. 1). lnm·n=lnm+lnn2).   lnma=alnm3). If  ln y=x  then y=ex…

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: (ke) 3 (1-In 2-) 1. For Sk*e3* dx = +C.f u= 3x, then k=? 2.

A: