(x In x)2 dx

Q: 6. S sin x In(1 + sin x) dx

A:

Q: Integrate S x sin(x)dx

A:

Q: 2x -1 If y-f and .1 + 'א. dy f'(x) - sinx".find - dx

A: NOTE: Refresh your page if you can't see any equations. . now substitute

Q: d [ sin(x)cos(x) dx dx 1+x4

A: Find the integral

Q: x In(x) dx, where x >0

A: Given query is to eveluate the integral.

Q: 3 tan-(x)dx O V3 - In (8) V3 TL In (4) 2/3 2.

A:

Q: sin x dy 2. dx 2у x2

A: In this question we have to find the solution of the given differential equation.

Q: If y=sin-1x then dy/dx= 1/dx/dy for all x in [-1,1] True or False.

A: Given statement If y=sin-1x then dy/dx= 1/dx/dy for all x in [-1,1] is false.

Q: 7. f (ex + 1)² dx 8. fex dx/(e²x + 3) 9. f (cos x-sin x)² dx

A:

Q: cos s x dx 2. S: Vsin x

A:

Q: 2tan x In (cos x) dx=

A: here we have to integrate the given integral.

Q: find dy/dx if y = sin-1(1/x)

A: Here given as

Q: S cos*x sinx dx

A:

Q: dy - år if y = In (sinh 50) and x = cosh 40 dx

A: Solving the problem by doing the derivative.

Q: 4 Find dx for y = - +7 sin x. X

A:

Q: x sin 2x sin cos x 2 Prove that: dx = 2x- T

A:

Q: Find integral.

A: The given integral ∫cosxsinx dx can be evaluated as, Put, cosx=t Taking differential on both sides,…

Q: 2 dx =

A:

Q: S sin x In(1 + sin x) dx

A:

Q: xdx g) 7x + 2) h)f sin(In x) dx of xe" dx

A:

Q: find dy/dx f(x)=x^2 sin(x)

A: We have to find derivative of f(x) where f(x) is given by:

Q: dy Evaluate dx at point (4,2) given 3(x² + y²)² = 100(x² – y²).

A: Answer and explanation is given below

Q: dy = sin(x+4) dx

A:

Q: 1. ſx² e*³ Sx² e**dx 2. cos'xsinxdx sin3xsin 2x dx 3.

A:

Q: / sin(In |x|) cos(In |æ|) + dx COS -

A: We have to prove that the given integral is true.

Q: c) Use trigonometric substitution to integrate dx 4-x2

A:

Q: -2.1 1- e* Use Simpson's rule to approximate -dx. x² + 2x – 1 1.2

A: This is a problem of numerical Integration.

Q: (a) Find the derivative. = In(x) – In(x - 8) dy dx (b) Find the derivative. y = In X - 8 dy dx %3D

A:

Q: Integral of e^(4x)sin(4x) dx

A:

Q: a) In(x+1)³ dx x+1

A: Given, ∫23ln(x+1)3x+1 dx

Q: d 1+ tanhx - Show that dx V - tanh x

A: To show: ddx1+tanhx1-tanhx4=12ex2 Simplfiying 1+tanhx1-tanhx,…

Q: y = (cos x-x4+ 1/x2)5 - In (3x+1)  Find dy/dx

A: =?

Q: find dy/dx. y = x2 cos x - 2x sin x - 2 cos x

A:

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

A:

Q: Integrate f dx using integration by parts. x+1

A: Please refer the attached image for complete solution.

Q: [sin(In x) + cos(In x)]* dx 3. xp: 3x/10 In(3x) – (In(3x))²

A:

Q: g. cOS x Vsin x dx

A: Let sinx = t

Q: Find (x' In(x)). dx

A:

Q: Find dy by dx when  f(x) =2x²-x+5÷3x+2

A: The derivative of a function gives the rate of change of a function when an infinitesimal change is…

Q: 7. Integral cos x dx sin x

A: This question is related to integration, we will solve it using given information.

Q: ¹In(1+x) -dx X

A: According to guidelines we must answer only one of the multiple questions given. So, I answer only…

Q: Evaluate 1 dx, x = 0, x = 1 1- x

A: Using beta and gamma function.

Q: S sin x (1+ cos 2x)² dx

A: In some cases integrals can be converted to standard integrals using an appropriate substitution.…

Q: – (x²- 1) dx using P (1 -;*)-^;* / * m in terms of A?

A: Use simple integration formula.

Q: dx b) sin 2x sin x dx (3x + 2)²

A: we have to integrate

Q: Show that d/dx(ln kx) = d/dx(ln x), where x > 0 and k is a positivereal number

A:

Q: 5) ( cos 'x dx -1 Where: u = cos(x) dv = dx

A:

Q: S sin(v3x + 2}dx

A: To evaluate the given integral

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: