3.4'=8xy (0) =5 %3D

Q: (*° + 8) Inx) (* + 8) In x) =D dx %3D

A: Differentiate wrt x

Q: S. S. dy dx

A:

Q: メ 2 4. Sô 5 dx

A: We have to solve

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: 1. ſ ev¤dx

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: 4. S sinºx dx

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

Q: cln10 pIn10 4sinh² (x/2)cosh(x/2)dx

A: Given that a finite integration and we solve this integration by using general formulas of…

Q: 1 dx 5 Vx (7+ Vx)° х (7+

A:

Q: 5.S dx 2 x+5

A:

Q: 12. S dx 2x3 x++1

A:

Q: 1 21. dx (1+)

A: Note: We are entitled to solve only one question at a time. To Evaluate: ∫1x1+x2dx

Q: 1. S- VE dx 6 Vĩ

A: Indefinite Integration

Q: iii. Sx coth-x dx.

A: (III) Apply the integral by parts rule, ∫u.vdx=u∫vdx-∫dudx.∫vdxdx Here, u = x and v=coth-1(x) As we…

Q: 9. Find the value of JL MA KM = 2x + 10 JL = 5x – 11

A: Consider the isosceles trapezoid JKLM. Recall that the diagonals of an isosceles trapezoid are…

Q: a) S(5x* – 4x + 1) dx

A: a. ∫(5x4-4x+1)dxFormula∫xndx=xn+1n+1+C

Q: Show complete solution

A: To evaluate the given integrals.

Q: 6 7. S 36+x² dx

A:

Q: 4. SE cot x) csc° x) dx • (×) dx

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Evaluale the to 312 bwiny dx 12

A:

Q: 2. I cosh ix dx

A: The given integral is ∫cos14xdx. Evaluate the integral.

Q: 25. х* dx dy

A:

Q: Find an approximate value of 8. [6x 6 x dx

A:

Q: | (3 + xx) dx

A:

Q: find dy /dx for Hhe followiny (इस्ट '5र) +4 (In 2X) te

A: Given : y = 3ln2x+ecscx2+4sec-15x

Q: Water in a canal, 30 dm wide and 12 dm deep is flowing with vel ocity of 10 km/ha How much area will…

A:

Q: 1. Sx³dx dx 2. S

A: In integration we basically have definite and indefinite integrals . In definite integral we have…

Q: 5. S Vx In 2x dx

A: I= ∫x ln 2x dx   =∫ln 2x x ln 2x dx   = ln 2x∫ x  dx- ∫ddxln 2x∫x ldx dx   = ln 2x x3232 - ∫22x…

Q: dy 200 ky ln dx y

A: This is the problem of dynamical system.

Q: 13h dn.

A:

Q: Find the most general antiderivative. 20) [7x3 - 4x + 5)dx

A:

Q: 4. cscó 3x dx 5. ſ cots x dx

A:

Q: 3) Se-*.cosh(2x) dx

A: cosine hyperbolic function we can write in terms of exponential function Coshx= [e^(x)+ e^(-x)]/2

Q: 3 S Inx dx 1

A:

Q: 4. s(x) 3D 2х * sec(х)

A: "Since you have asked multiple questions, we will solve ths first question for you. If you want any…

Q: 30 en (6ox+ 3o)dx 2.

A: Note: As per bartleby instruction when more than one question is given only one has to be answered.…

Q: .3 +1) dx

A: Integration of x3/4+1 is x(3/4)+1/((3/4)+1)+x

Q: 1) 3 )dx

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

Q: 3. coth 3x dx

A: To evaluate the integral.

Q: dy 9ху — 5у dx

A:

Q: 2. S csc²¹ 5x cot¹ 5x dx

A:

Q: 1 dx 4+vx 10.

A:

Q: 5. x"(1+ Inx)dx

A: Given is to evaluate the integral ∫24x2x(1+lnx) dx

Q: 3. S dx

A: We have to find the indefinite integral

Q: 1. S(10x° + 8x7 + 6x5 + 4x3 + 2x)dx

A:

Q: 6). S csch* 2x dx

A:

Q: Sメtex dx

A:

Q: (3) x°lnx dx

A:

Q: In (x) -dx is equal to x2 The numerical value of

A: Given is an integration and we have to find it's numerical value. Here, we use the Integration by…

Q: Find the most general antiderivative. 20) [(3x³ - 8x +2)dx

A: