1-f e*. Inx dx

Q: Compute cosh x and tanh x, assuming that sinh x = 0.8.

A: Here given as sinhx=0.8 Use the identity…

Q: Find the exact value. In 3 0 ³ sech 4 x tanh x dx

A:

Q: a if y = In (sinh 50) and x = 7. cosh 40

A: We have given y and x and we have to find out dy/dx

Q: if f(x)=ln(1+cosx) then find f`(x)

A: f'(x)=(1+cos(x))'/(1+cos(x))      =-sin(x)/(1+cos(x))

Q: Evaluate S sinh x cosh x dx by introducing u-sinh x

A: Given that: ∫sinhx.coshx.dx

Q: 4. Evaluate the integral. S tan (2x) sec°(2x) dx

A:

Q: find the length of the curve y = arcsin e^(-x) from x = 0 to x = ln 5/4

A: Given curve, f(x)=arcsin e-x from x=0 to x=ln54

Q: Find the derivative of y 16 In (In(6x)). (Use symbolic notation and fractions where needed.) dy dx…

A:

Q: dx

A:

Q: Evaluate -dx using the appropriate steps and showing all appropriate work. 1+e

A:

Q: Obtain a-(In x)? dx.

A: Given,  ∫x-5(lnx)2dx

Q: dx Use Gamma Function to evaluate /

A: Given: ∫0+∞e-x2 dx

Q: Find integral.

A: We have to find the integral I=∫cos(5x) dx

Q: Find definite integral.

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

Q: If y- sinhx then prove that = dx

A: Fundamental inverse Trigonometric Identities: →cosh2y - sinh2y = 1 Basic derivative:…

Q: (In x |cos(In x) dx X.

A: Find integration

Q: 2 dx =

A:

Q: Evaluate S sinh x cosh x dx by letting u=cosh x

A:

Q: Find definite integral.

A: To find the definite integral: ∫153x-1+x-3dx Solution: Power rule of integration states that:…

Q: Compute the higher derivative.

A: Given, d3dx3sin 2x

Q: Find y' if y=In(tanhx) +cosh¬1(coth2x)

A:

Q: Evaluate: 2) x-In x dx

A:

Q: Find y' by ased proportici Ln Xャ3

A: Taking natural log both side

Q: Evaluate Sx In(sinx)dx

A:

Q: d Use implicit differentiation to prove that x"| = nx"-1 dx

A: Implicit differentiation is a method to solve the differentiation of an equation without the need to…

Q: Use Gamma Function to evaluate dx

A: The definition of gamma function states that, Γn=∫0∞tn-1e-tdt where Γn=n-1! and Γ12=π. The given…

Q: 3:Use Gamma & Beta properties to evaluate : f (In x)³ dx

A: The gamma function is Γ(z)=∫0∞e-ttz-1dṭ The Gamma function is a non-integer generalization of the…

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

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Q: Fn C) = show sin nx ス|L Sinnx

A:

Q: show that d/dx arctan (tanhx) = sech (2x)

A: On differentiation, we get

Q: Evaluate ( Sech²(In x) dx

A: In this question we will use basic of calculus i.e concept of integration. First we will convert the…

Q: tanh 2x In (cosh 2x)dx

A:

Q: dx Evaluate

A: ∫0919+x2dx

Q: Evaluate dx 2. f 1-tanh x

A:

Q: Find the indicated derivative. dp for p = dq 1- 9 dp dq

A:

Q: Show that ∫∞−∞ sin x dx diverges.

A: To Show: ∫-∞∞sinxdx diverges.

Q: cosh(In x) dx

A:

Q: dx хе

A:

Q: Integrate: S dx sin ³x cos6x

A:

Q: 8. 1 dx, x In x

A: Given data:     The given integral is: .   Convert the above integral into indefinite integral.…

Q: Compute the derivative d tan x dx \cos x – 4)

A: To compute :

Q: 1 Integrate: S tan*÷x dx 3

A:

Q: Compute the derivative d tan x dx \cos x – 4

A: Given: Formula Used:

Q: d cos 2x – x³ dx 3+ tanh x

A:

Q: 3. SIX f- - dx x in x√√(inx)2-9

A: