Q/Find the Integral of the following: Inx 1- Not: log₂x In2 log,x X -dx 2- fix dx 1+e dx

Q: log y11 ( express as a product)

A: Given query is to find the product expression.

Q: Q\ Eind dx/dy, if

A: Differentiate w.r.t to x tand then take the reciprocal

Q: 2: Evaluate : |x log(1+x) dx

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Q: Differentiate. y = log 5 (1 + 2x)

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Q: Find dv V= log 1-Cask I+Cast where n-782

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Q: Solve for x. log, (-5x+8)= 1

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Q: Q1: A) Find for the folowing function : Y = log2(3X² + 1) ³ %3D dx

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Q: Solve  x (dy/dx) + 2y = logx

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Q: Find fdz 7 log(x) + C

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Q: Differentiate: 3. y = log₂ (x¹ - x)

A: y = log9(x4 -x) here logerithmic function is given  dlogax/dx = 1/x(lna) use this formula and chain…

Q: Consider the following expressions as functions of a with domain equal to the open interval (0, 1)…

A: The given function f:0, 1→ℝ, we have to find a function that satisfies the given condition.

Q: +/t%edt 1. 2. Se-x/2dx 3. 3*e*dx

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Q: y=10x log10 X differentiate?

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Q: Find dy/dx y = x 2/ (1+log x)

A: In general logx is considered as so find the derivative accordingily

Q: メ+lo93 dx =? 3. dX =?

A: Given,          ∫3x+log3xdx

Q: Sind dx/dy if ys log Vitx? 14

A: Given: y=logx1+x2+logx1-x214. So,         dydx=ddxlogx1+x2+logx1-x214…

Q: Find dy dx y=9lnx+5 loggx

A: dy/dx=9/x + 5/(x*ln9)Explanation:Step 1: Step 2: Step 3: Step 4:

Q: l Fied dx/dy if y Loglaha) Lag (xlogx)

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Q: Differentiate. y = 12* • log 6x d x (12*- log ex) = D 6x) = [ %3D dx

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Q: Differentiate. y = 10 log 3X %3D d dx (10*. log 3x) =D • log

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Q: Differentiate. d y = log 4 (xº + x) - log4 (x8 + x) = □ dx

A: To differentiate the following function.

Q: 3.S 2 4* dx

A: To integrate:∫24xdx Solution: ∫24xdxsubatituting,t=4x⇒dtdx=ddx(4x)⇒dtdx=4⇒dt4=dxsubstituting above…