1 + cosh 2x 9. cosh² x 2

Q: •2 1 -dx- J-3 (x + 7)(x² + 16)

A: Given integral is Apply partial fractions to break the denominator

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: 2 cosh x +losion2x = 5

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

Q: 9. Evaluate -2x +9x-1 dx (x² – 2x +1)(x +2) -

A: Solve the problem using partial fractions

Q: бх-7 7. S dx (2х+1)(4x2+1)

A:

Q: 5 -x° + 2x 3 dx .2 x +4

A: Consider ∫x5-x3+2xx2+4dx = ∫x5+4x3-5x3+2xx2+4dx= ∫x5+4x3-5x3-20x+2x+20xx2+4dx=…

Q: (а) (3x +5(5х -6) dx (b) 15х3 -10х? +15 dx 5x?

A:

Q: Solve 5cosh(x)+1=2sinh(x).

A:

Q: Q1: Solve ýex+y 2 = cosh x + √√cosh² x − 1 + 7e*

A:

Q: 44. (-x + 4x – 5) dx -2

A:

Q: 6. f(x, у) — х3 In (2y)

A:

Q: Evaluate: (7-j3)ln(cosh(2+j5))

A: Needed Formulae, coshx=e-x+ex2 lna/b=ln(a)-ln(b) ln(a×b)=ln(a)+ln(b) To solve, (7-3j)lncosh(2+j5)…

Q: f(x) = x2 cosh 3x -

A: Simply, I have used laplace transform formula.

Q: 11-x 1 S S S dydzdx 00 x+Z 2.

A:

Q: intergral 4x^3(x^4+12)^17 dx

A: We are going to use integration by substitution method

Q: -7, 2x (x2 + 1)dx

A: We can find the integration as below

Q: x² dx /1 + 2x 3

A:

Q: 2sin (x) dx =

A:

Q: Number 20

A: To evaluate

Q: 5. Solve for x² − x+6 x³ + 3x 1³ dx.

A:

Q: Зу" — бу' + 6у%3D е' sec x

A: Given differential equation, 3y''-6y'+6y=exsecxy''-2y'+2y=13exsecx

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

A:

Q: cosh(2x + 9)dx

A: on doing integration with respect to x we will get

Q: جد قيمة التكام 1 dx 1+ x5 باستخدام قاعدة سمبسون عندما 8 = n. . أكتب خطوات حل التكامل اعلاه باستخدام…

A: Given: ∫3511+x5dx

Q: Exercises To Solve [No.5] 2 dx 05² зах (2) x²+2x+5 9x²-6x+5 -11

A: Solution is here

Q: x4 – 4x3 + 8x² – 13x + 13 dx - - (x – 1)(x2 + 4)

A:

Q: 4 dx x2 4x2 - -- x2

A:

Q: 4. (2 - x)² In(4x) dx

A: Value of question (4) is 27ln(12)-21ln(4)-269 see below the calculation As per bartleby guideline I…

Q: 4. Evaluate: - V16. dx 16 x2 -

A:

Q: 3x 7x® 47x7 sinh (r +x² + 2 40 24 112

A: Given: sinhx+x2+5x36+x42+3x540-7x624-47x7112 Formula used:fx=fa+f'a1!x-a+f"a2!x-a2+f'''a3!x-a3+.....

Q: Evaluate the integrals

A:

Q: 3r² + 10x + 7) In (z²+3) dz

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

Q: integral: 24x² √64 – x² dx

A: ∫ 24x264-x2dx

Q: 1 dx = 20+8x-x2

A:

Q: 3- f xvx2 +1 dx

A: Integration

Q: What is the value of (2.0)given y = 2sin(4x) dz

A: This can be done as follows:

Q: Show that - dx /x²+2x+2 L- In(√5-2).

A:

Q: 2 + 5 sede) ( *)) d. /2+5 sed*). 3x 3x 4. 2 + 5 sec e tan

A: 4). Given: I=∫e3x2+5sece3xtane3xdx   ...1   As we know that; ∫secxtanxdx=secx+C

Q: y= Sinh (3x+5x+6) 2. %3D

A: We have to find differentiation of the given function.

Q: cosh (x – 3) dx 8 – cosh² (x – 3) 18. 12

A:

Q: 3x + 1 dx 28. V4 – x2 -

A: Formula used : ∫dx1-x2=arcsin(x)+c

Q: + 2sin(x) + 7e"dx

A:

Q: 8. 6. sec²(3x) – V8)dx 6x + 9

A:

Q: 4. √₁² (x²³/2 + x ²¹/2₂ - x^²/2) dx

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

A:

Q: how that 1 dn v2

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Q: 19-x 2 Find -dx 2 x² 5.

A:

Q: e* sinh(x) 7 8 1- X

A:

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

A: