1) x² – y² = 25 , y" %3D

Q: 2)S 1xtil dx (5)

A:

Q: s(VE + E dx

A: We want to integrate the given function.

Q: メ 2 4. Sô 5 dx

A: We have to solve

Q: 4. S sinºx dx

A: This question can be solved by applying the concepts of integration of trigonometric functions.

Q: 2 x 4 x Se core* csc*e* dx

A: ∫ex cot2ex csc4ex dx=∫ex cot2ex csc2ex csc2ex dx=∫ex cot2ex 1+cot2ex csc2ex dx      ∵csc2x-cot2x=1…

Q: VALUATE xx4 dX 3

A: to find:- integration of the given function. *concept:- let,  x^3+4 = t.

Q: Integrate: S(x2 – 1)e² dx

A: We solve this question by using by-parts  ∫u.vdx = u∫vdx - ∫u'∫vdx dx

Q: 6 iven differentinl ....(1x) dx = 2x+y with (2*)

A:

Q: S tanh 2x In (cosh 2x) dx

A: Given integral is, ∫tanh 2x lncosh 2xdx

Q: S In (ecos5×)dx

A: Given that: ∫ln(ecos5x)dx

Q: 4. SxIn(x) dx

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Q: 13. S: 5x dx x5-3

A:

Q: 7). S x² sech x³ dx

A:

Q: Show complete solution

A: To evaluate the given integrals.

Q: 2. 7. S(x³ – 6x + 5)* (x² – 2)dx

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Q: cln /3 2e" Ve2x +1 dx

A:

Q: 20) S(tanh (4– 3x) kdx

A:

Q: dey こてxニコッン alx

A: We have to find :- d2y/d2x= ?

Q: 5.5 dy √y.evy 6. Š dx X+ e 7. fete d dx 8. fdx

A: Here we have to find the integral.

Q: 8. ylnx – x In y = c - 9. y = ln (coth x) 10. y = sec³Vx

A:

Q: (4) S xe*dx xe* + e* + c ex — хе* + с Option Option 2 хе* — ех + с Option 3

A:

Q: 32x ) dx In|xl + C 3 %3D - |- 3x. 2 In 3

A: let the missing term is Y

Q: 1. S+1)dy y2+4

A:

Q: 6. S sec3 dx

A:

Q: 4. S ( 12 x³ + 15 x - 20 ) dx 5. S 10 x2/5 dx 6. § 3 ³V x8 dx 7. S ( 8 + 2 dx x3 x4. 8. S ( 2x³ -…

A:

Q: 3 d. S16 – 3x| dx 1

A: We have to solve given problem:

Q: 3 ln x + 2 ln y − 4 ln z

A: To simplify: 3lnx+2lny-4lnz Solution: 3lnx+2lny-4lnz On simplifying further we get:…

Q: x^2(lnx-lny)dy=y(ylny-ylnx)dx

A: Explained below

Q: M. MN = NO=2x+2 MO = y+1 LN= 5x-4

A: The figure is a square. The two sides of the square are 12y+3  and  2x+2. It is known that all the…

Q: 2. S 8sin*x dx 3. S 8cos*x dx

A:

Q: 1- S dx -4 4

A:

Q: f F(x)= 8x^2 ln(6x) Than, F'''''(x)=

A: Given that F(x)=8x2ln6x find F’’’’’(x)

Q: 4 ! 17) 8x In x dx

A:

Q: Find y' and y". y = x² In(9x) y' = x + 2x ln (9x) y" = 3+2 ln( 9x)

A: Given function is Differentiating with respect to x by using product rule of differentiation, we…

Q: 1 [In(3x)] S (* -5x+2)e*dx

A: solution is given below

Q: 3 S Inx dx 1

A:

Q: 2 の x3 ex lx の 2X dx to

A: 3 Given: ∫12x3ex dx   ……1

Q: 2 S dz = 3. S dv

A:

Q: 'a-x - dx atx valuate

A:

Q: 1 3. Evaluate dx, using substitution method. 2

A: The given integral is: ∫1xx+12dx I=∫1xx+12dx    -1

Q: 1. S(x* - 5)'x² dx

A: According to our guidelines , we can answer only first question . Kindly re-post other remaining…

Q: 4. y ln x + xesin y = 0=

A: Given

Q: 6. 2 I (ve**)dx dy у /2

A:

Q: S 3 Lnx+1 XLn x-2x .dx

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Q: - In x (7) S dx 5 (8) Í dx 4 4+x (9) [xV1-2x dx

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Q: 1 y2e- dy 7 صواب ihi

A:

Q: Hiw 2 4t é dt 2 O Sx Sečx dx

A: (1) Consider the given integral. I=∫csc3dx The reduction formula is defined as.…

Q: ' 7 cosh (x) dx = 1

A: We have to evaluate the integral ∫197coshxxdx

Q: 16 13 cosh (Vx) dx 1

A: To evaluate the given definite integral.

Q: 4. S(5x +) dx = dx = 2 5. S- x7 x4- 15x6 6. S (四 극) dx %3D

A: