lim( 2n') %3D

Q: d/dx(51x)

A: ddx51x

Q: i '2/3

A: Given: i23 we know that amn=am1n

Q: exp(iz) = 1+ iV3.

A:

Q: sin² sin'x =-COSr 2. 0, 2.

A: To solve for x , where x should lie in the interval  [0,π/2]

Q: sec4 dx

A: The integral is . Let . Differentiating both sides.

Q: nx ( X

A:

Q: 1. f4x-³ dx -3

A: Find the integral

Q: Arc dx 1. xV4x-9

A: We will use the method of substitution  to solve the given problem . Let I = ∫2Arctan 34x-9x4x-9dx…

Q: VALUATE xx4 dX 3

A: to find:- integration of the given function. *concept:- let,  x^3+4 = t.

Q: y = 5t2 - 2t + 4 -'(t) =

A: The given function is y=t25t2-2t+4. We have to find the derivative of the given function. The…

Q: ydx=(ye^y- 2x)dy

A:

Q: find dy du

A:

Q: Sinh(8)=

A:

Q: 2 dr x>1 rVF - 1

A: We will find the integral as following.

Q: lim x en(x) こ メーPO* ot

A:

Q: n lim dr.

A:

Q: ∫ye^(〖-y〗^2 ) dy

A: Given: ∫ye(-y)2dy

Q: -, z) = ( %3D

A:

Q: Evaluate. (use C for aonstant of intgration) dx 2 X "- 3

A:

Q: The question is:  y=(x^2+x^3)^4 , find y’

A: The given equation is y =(x^2+ x^3)^4.By the chain rule of differentiation, compute y'.

Q: exapy %3D 4-x2

A:

Q: 6/T-9x dx

A: Here we have to integrate        ∫[(6√x - 9x)/x2] dx