3. у %3D tan1(sinh 2x) Зсosh-1 (csc) 4. у %3 CSC

Q: (sech°x)/1+ sin? if y = dx dy Find tanh°x

A: Given:-       To find:- dy/dx

Q: 5- (tanx + secx)2 dx

A:

Q: 8.Differentiate and simplify: y = tan(VT). %3D

A:

Q: 2. cos“ y sin’ ydy

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Q: Iim tan³x X10 1- Cos2x

A:

Q: 44. y" +y = secr· csc x

A: Consider the equation, Let the homogeneous equation is The standard form of this equation is The…

Q: 17. sech? x tanhx dx 12

A: Integrated by substitutions

Q: 1 sec²x + tanx %3D tanx tanx

A:

Q: 1 cos(sec-x) dx 2/V3 xVx²-1

A: Let's find.

Q: | (sinh x)(coth’x + csch3x)

A: The solution is given in the next step.

Q: , I- Se* . sinh 2x dx

A: Since you have posted more than one question, we solve the first one for you. For the remaining…

Q: tanx . In(cosx) dx

A: we have to evaluate,   I=∫tanx . ln(cosx) dx

Q: 16. 4x2 sinh (x³) tanh (x³) dx

A:

Q: Differentiate y = (1+ sin* (æ²)) °. 3 8.

A:

Q: 1) S secs 3x tan 3x dx

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Q: Eliminate the parameter (4) from the following. (A =5+sint YA=2+cOst

A:

Q: 2- Solve the equation for x : Cosh x = Sinh x +1/2.

A: We need to find out the value of x. The given equation is Cosh x=Sinh x+12 Now,  Cosh x=ex+e-x2  and…

Q: #4 tan lun sec x dx 4.

A:

Q: 2, " cos“(x)sin*(x)dx

A: To find : ∫0π2cos6xsin4xdx

Q: 1-tanh² x sinh(2x) O cosh(2x) O sech(2x) O csch(2x) O Leave Question O |

A: To compute1+tanh2x1-tanh2x

Q: |7t tan (1) dt

A:

Q: Differentiate: y = 5 tan? (25a) oy = -750z² tan(25a) sec? (25) Oy = -750x tan? (25) sec(25) O y =…

A: Topic - derivative of a function

Q: S(sin 29x + 6e0 +5 cos 5x+)dx

A: Given integration ∫sin29x-x5+6e6x+5cos5x+x5dx  Now we break it and we get   ∫sin29xdx-…

Q: Differentiate y= 3-carhx tespect to X 6+ Sinh x

A:

Q: Ssec*x (Vtan²x + 1) 2. 4 sec' x tan3, dx

A:

Q: coth“ (sin 3z) -dz /1– tanh² 3z 12)

A:

Q: 2x y = Arc sec 3

A: We will use the formula of derivative of arc secx to solve this question.

Q: tan 2x dx 2. S (3+ln cos 2x)6

A:

Q: 1. ſ tan5 2x sec3 2x dx

A: Let,I=∫tan52xsec32xdxI=∫sin52xcos52x1cos32xdxI=∫sin52xcos82xdxI=∫sin42xcos82xsin(2x)dxusing…

Q: 5: - S cos(lnx).dx

A:

Q: Integrate by parts    16X^3 tan^-1(4X) dx

A: To integrate the following function by integration by parts.   f(x) = 16x3 tan-1(4x).

Q: 4. S sin¯ 3x dx

A: We can solve the given problem using integration by parts . According to Bartleby guidelines I have…

Q: 5. S sin5x cos 3x dx

A:

Q: coth“(sin 3z) 12) Vi- dz /1– tanh² 3z

A: The given integral: This can be written as, To evaluate the integral:

Q: 1- y '(2x) = Sinh

A: the question is taken from calculus and in which we have to find the derivative of the given…

Q: Jam sin(10x) dx

A:

Q: Se-Ax .sinh(2x) dx

A: We know, sinh(x)=ex-e-x2

Q: Our cycle of normal breathing takes place every 5 seconds. Velocity of air flow, y, measured in…

A: Follow the procedure given below.

Q: Find dy/dx if sin-(4y²) = 8x² – 5y3 Answer: Find dy/dx if tan- (xy²) = 3x² – 5y² Answer:

A:

Q: 2. S CoSx+sinx-1

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Q: Differentiate.   y =  Sin -1(ex)

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Q: Explain how to find ∫ tan15 x dx without actually integrating.

A: ∫tan15x dx=∫tan13x tan2x dx=∫tan13x sec2x-1 dx   ∵sec2x-tan2x=1=∫tan13x sec2x-tan13x dx=∫tan13x…

Q: 4. EVALVATE | sin4x vos5x dx

A:

Q: evaluate the integral.

A:

Q: 2. S[ tanx- Secx]

A:

Q: fcox In(sinx) dx= fu du cotx In(sinx) dx = u du

A: In this question we substitute  u=lnsinx .

Q: 5x cos dx 2 x3 cos 9x dx X' COS

A: