•0.6 x² -dx V9 – 25x2 0,

Q: 1. Integrate: [x³ sin(2x) dx.

A: As per Bartleby guideline, only the first question has been answered. If you want to get the answer…

Q: sinh³ (x) cosh (x) dx =

A: we have to evaluate the integral ∫sinh3x cosh8xdx use the formulas,…

Q: ЗсoshЗx dx| 4 + sinh3x 1/3

A: Given: 13∫3cosh3x4+sinh3xdx

Q: 1. [ (6x² – 2x+3)dx sin(2x)dx 3 2. 3. S2 8 dx X+2

A:

Q: 30. 5e dx 31. dx Зи du - 1 33. 3. x² dx 35. (x' + 5)* 37. ((3 In z + 2)4 39 dz

A: We have to solve the integration

Q: arctan x Xe fel Xaresecx d

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: 2dx J = (3(ln x)² + 12 In x – 15)i -

A:

Q: 2. dy dx

A:

Q: 5. 12 sec² (3x) dx 0.

A: We have to solve

Q: tan20 sec2ede In 2 edx 3. 1. (a² + a²tan²0)² 2ex- 1 x'dx dx x- 1 2. 4. (1+ x2)3

A: As per our policy, only the first three subdivisions will be solved. For the remaining subdivision,…

Q: 4(sinh 5. Evaluate 6 x) dx V1+x?

A: We use the well known formula for sinh^-1(x) = ln(x + sqrt(x^2+1)) and then integrate the…

Q: (2x-2) dx sinx dx 2. 3. √xdx 4. J² (²2x²+4x-2) dx 5. So (cosx+tanx)dx 1/1/4 6. Jo ¹/2_dx =dx √1-x²

A: Solve by integration

Q: Find definite integral.

A: The given integral can be solved by the method of substitution. The substitution that will be used…

Q: Integral from 0 to 2pi of sin(2x) dx

A:

Q: Ssin x CosX dx 6x dx

A:

Q: arctanx e dx (1+x²,"

A: The given problem is to evaluate the given integral. We have to evaluate by using substitution…

Q: 2. Cosh X y sinh x 2 cosh x sin dx dy dxxy = 1 5. (1-x)

A:

Q: 3. x)dx sin(ln

A:

Q: 30. 5e dx 31. Зи du - 1 33. x² dx 35. (x+5)* 37. xp (3 In z + 2)4 39, -dz

A: We will solve the integration.

Q: Estimate x² dx using left endpoints for n = 4 approximating rectangles. 3 x² dx is approximately

A: The equation of the integral function is ∫03x2dx. The left endpoints is n=4.

Q: Find ∫cosh 2x sinh2 2x dx.

A: To find the value of the integral∫cosh2xsinh22xdx

Q: find integral sec 3 x dx

A:

Q: 8. dx +x2 Integrate:

A:

Q: rIn 2 cosh x dx. Vsinh a x + 4 sinh x +2

A:

Q: Find integral.

A: Given : ∫-5xsinxdx

Q: S sin* 2x dx 4

A: The complex form of integral can be converted to simple integral…

Q: 2. Jx sinh x2 dx

A: ∫x sinh x2 dx

Q: 6) Calculate - dx for z = ln(x + y²).

A:

Q: Integrate dx/(x+1)(x^2+16) from 0 to 1

A:

Q: Find the value of the definite integral: 4x dx -2

A: ∫-254x3 dx

Q: Evaluate integral x^2e^-x^3 dx

A:

Q: 10. S V9x2 + 64 11. ( sech?(In x) 12. S cosh(5x – 7) dx

A: Given

Q: 3/ Find Value of integral ) dx 0 X+1

A: I am attaching image so that you understand each and every step.

Q: integrate x^4cotx^5 dx from 0.4 to 0.8

A:

Q: Evaluate the integral. sinh 5a -dx +C. 5x

A: Evaluate the integral the given function Sinh is hyperbole function.

Q: Integrate dy/dx=(1+x^2)/(-2x-x^3)

A:

Q: calculate the integral.

A:

Q: sin 6x dx sin23x 4. 6. S Ve3x + e 4x dx ex dx 8. J 1+ e2x

A:

Q: Uniclaretiana Fundoción universitaria Claretiana 1 (In x - 4) dx – (x + 1) dy = 0 2 4 +6x) dx +…

A:

Q: Find the indefinite integral

A: Consider the integral: I=∫sec42x5dx……1

Q: 2 sin x f(x) = 1+2cosx 5. Pvaluated at x = 1 rad

A:

Q: Differentiate. y = In (7x + 8) In (8x + 5) dy dx II

A:

Q: 3e° 3ecsch 3x 11) -dx sinh 3x tanh 3x

A:

Q: (a) Sizl=1 dz.

A: Here we use property of analytic function.

Q: 4. Evaluate x sin2x dx Integration by parts

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: | (In x)² dx_use integrationI

A:

Q: Se Sin (3x) dx by Improper htegrations.

A: use improper integral

Q: 6) csch-1x = In Vx2+1 (+ sinh-11 %3D |x|

A: 6. First  we will find relation between csch-1x and sinh-11x. From Hyperbolic trigonometric…

Q: integral e 2x sin 3x dx

A: