7). Sx² sech x³ dx 3

Q: (c) | Vtan(x) sec (x)dx 3

A:

Q: S(7x-2)³ dx = (7x-2)4 + C. 28

A: The given integral,      ∫7x-23 dx=7x-2428+C

Q: 2. Find the value of 1 3x + 13 x² + 4x +3 dx

A: We can you valve the given definite integral by using the partial fraction method.

Q: 3. What is Se3x dx?

A:

Q: Prove : (x2 + 2x + 2 )dx > 0

A: The given integral is ∫-10x2+2x+2-x2dx The integral has been rewritten∫-10x2+2x+12x2dx Apply…

Q: 1.S (3x5 – 2x – 5x – 3) dx 2.5 (y? – 1) (3+2y) dy 3.S V + 5VX³ dx

A: Dear student. Since you have posted many sub-parts, in our policy, i have answering the first…

Q: S sec 7x tan 7x dæ 4,

A:

Q: 7. Use substitution to evaluate ſ 2x(4 – x²) dx.

A:

Q: -) S xe²*dx .2

A:

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

A:

Q: Find 1 SC + sec²6x + 9)dx: e3x None -3x tanbx + 9 x + c 6 -3 -3x tan3x + 9 x + c 6 -3 e-3x tanbx +9…

A: We can solve the given integral .

Q: If y=3(−7x^2+7x+1)^13, then      dy/dx=

A: Given:- y= 3(-7x2+7x+1)13 To find :- dy/dx

Q: Evaluate sech(3 – 2y)" dy

A:

Q: 2x +9 Find- , if y = dx x-5x+1

A:

Q: .4 2 Evaluate : S(4x3 +)dx x+1

A: This question is based on definite Integral.

Q: 4. Compute , 3x – V1 – x² dx.

A:

Q: In(3x – 2) dx

A: It is known that: ∫ln xdx=xln x-x+C, where C is the integration constant.

Q: ,3 In x dx

A: Solution

Q: n/3 sec23x 8. n/4 2+4tan 3x dx

A:

Q: Evaluate. .3 S (-x² + 4x – 5)dx -2

A:

Q: What is the solution of 5 |x - 2|dx

A:

Q: Differentiate. y = In [(x + 4)(3x- 2)(5 – x)] d In (x+ 4)(3x – 2)(5- x))] = || dx

A: We have, It is known that the derivative of ln(ax) is, and derivative of the function of u.v form…

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

A: let the missing term is Y

Q: 6. S sec3 dx

A:

Q: #1) Find for 7x³y5 = -8 dx

A: Let's find.

Q: 2- Show that: -1 xb-1 In x dx b2

A: See the attachment

Q: 1- S dx -4 4

A:

Q: to of 3g dx Be

A:

Q: ()* 3 -2 dx 7. dt 4

A: Solution 7: Given linear system is dxdt=3-24-1x Let A=3-24-1 Let the eigen value be λ So…

Q: .7 Evaluate ſ x³tan-1x dx.

A: The integral is given , ∫x3tan-1x dx. Solve the integral by integration by parts, ∫x3tan-1x…

Q: 2 の x3 ex lx の 2X dx to

A: 3 Given: ∫12x3ex dx   ……1

Q: أ 12, x > 1 (b) ) 5 f(x) dx

A: According to Bartleby's guideline, we can only solve three subparts of a question. Please post again…

Q: 4. √₁² √9-x² dx

A: Follow the procedure given below.

Q: 1. Evaluate [(2sin 2x+3Tanx – 5 e-5* +4x' -7) dx .

A: Integrate each term

Q: In 2 e2x dx V1+ ex

A:

Q: 2 Evaluate || dx +4x+3

A:

Q: Find for 7x3 + 4y = 3y² dx

A:

Q: 5. St? V1- t dt (2x+3) dx 6. S (x2+3x-6)

A: Please see the answer below.

Q: Find S 6+ 3x + 4 dx x2+1

A: Solution:

Q: Show that 5x – 2 3 + C X - 1 dx = 5 In |x - 1| x2 – 2x + 1

A: We have to solve

Q: Show that d (x3 Inx -국x) 3) = 3x² In x dx

A: Hi! You have posted multiple question. So, we will be solving only the first question as nothing is…

Q: 8. (b)/2 -- xe dx

A: Integration using byparts: where u is the first function and dv is the second chosen using…

Q: 7. sech²(Inx) dx X

A: Let's solve given integral.

Q: 413 xdx X csc 2. (sec2/3 xcsc4/3

A:

Q: 21 (b), dx -1 3e2x

A:

Q: 3. to 4. Hox - 9x²+8dx 2- 十一X dx

A: ∫10x4-9x2+8x2dx

Q: Compute x1+ x² dx 3

A: Given,           ∫01x1+x23dx

Q: 10 Find ſ," (+ 2x + 6) dx 4 x6

A:

Q: 20. Find f2x/(5x-3)dx

A: