Differentiate   y = e1+ln x

Q: integrate ((x-1)e^x)/(x) dx

A:

Q: 1 dx x (ln x)' 1)

A: Since you have submitted two questions, we'll answer the first question. For the second question…

Q: 10. x*(lnx + 1)8** dx

A:

Q: _2] ln(1+x)

A:

Q: Differentiate  y = x ln x

A:

Q: Differentiate: y = x(ln x)² – 2x ln x + 2x

A: y=x(lnx)2-2x·lnx+2xy'=ddx(x)(lnx)2+xddx(lnx)2-ddx(2x)·lnx+2x·ddx(lnx)+2 , [product…

Q: Differentiate   y = ln x ln 2x

A: To differentiate: The equation y=ln x·ln 2x. Concept used: Product rule of differentiation:…

Q: dx x (In² x – 6 ln x + 10)

A:

Q: . Integrate: [x7*dx

A:

Q: d)s Sec-(Ln]x#l) dx

A: In this question, we need to find the integral of the given function.

Q: Differentiate   y = 3(ln x/x)

A:

Q: 1 dx x[9+(ln 3x)" 8.

A: use simple integration method.

Q: Differentiate   y = (ln x)2

A:

Q: Calculates  ∫ln(x2+bx+c) note: 4c−b2<0.

A: Consider the given integral   Find the integration of first team,

Q: Differentiate   y = ln(x2 + 1)/(x2 + 1)

A: We have the given function as y=lnx2+1x2+1        ⋯⋯1 We know that, for two differentiable function…

Q: csch(ln x) coth(ln x) dx

A:

Q: Calculate y'. y = ln(x ln x)

A: Given: y=lnxlnx Chain Rule for Differentiation: ddxf gx =f'xddx gx Product Rule of Differentiation:…

Q: Solve for x accurate to three decimal places ln x + ln(x − 3) = 0

A:

Q: Differentiate   y = (x3 + 1) ln(x3 + 1)

A: Given, y=x3+1 lnx3+1

Q: Differentiate   y = 1/ln x

A: We can find the derivative of this function using the chain rule of differentiation (differentiation…

Q: If ln x+ln(x−2)=ln 3x, then x=?

A: To find the value of x from given logarithmic equation.

Q: Differentiate y = ln ( x 3 + 1 )

A:

Q: Solve ln y = ln x + ln C

A:

Q: Evaluate:S Ln x dx

A: Solving the problem by finding the value of integration.

Q: 3) Evaluate for ln(x + 1)dx x

A:

Q: Differentiate  y = (ln x)5

A: Given that the function is  y = (ln x)5 To differentiate with respect to x

Q: 2hv3 1+ In-1 I,c²

A: Let's find.

Q: Differentiate  y = ln(xex)

A: To differentiate a function of a variable x is to find its first derivative with respect to x. First…

Q: Differentiate g(x) = ln(7-x/7+x)

A:

Q: Solve  x (dy/dx) + 2y = logx

A:

Q: Find H'(x) if H(x) = ln(ln(ln x))).

A: Given         H(x)= lnlnlnx

Q: (2+ln? x) -dp- x(1-In x)

A: Given integral, ∫2+ln2xx1-lnxdx

Q: Differentiate.  y = ln[e2x(x3 + 1)(x4 + 5x)]

A: Solution: Consider the given equation: y = lne2xx3+1x4+5x We know that  log (m.n) = log m + log n…

Q: Ln (+x) dx

A: Given integral is ∫ln (x2+x) dx=I (say) We will do this by method of by parts.

Q: Differentiate.  y = ln[(1 + x)2(2 + x)3(3 + x)4]

A: y = ln[(1 + x)2(2 + x)3(3 + x)4] y' = ?   We know: ln(AB) = ln(A) + ln(B) ln(A)n = n.ln(A)

Q: Differentiate y=x2 ln(2x)

A: SOLUTION-

Q: find x ln x dx

A:

Q: Integrate .5 X dx 1+x

A:

Q: 10. y=ln(x² +3}) %3D

A:

Q: / solve: X Ln x dy + Xydx =Ln xdx

A: Solve by integration

Q: Find ∫x2 ln x dx.

A: To integrate: ∫x2lnx dx Integration by parts states that: ∫uv dx=u∫vdx-∫ddxu∫vdxdx Integrating the…

Q: antiderivative of ln(ln(2x)dx/2x

A:

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

A: Evaluate the integral ∫tanh2xlncosh2xdx

Q: solve for y. ln (10 ln y) = ln 5x

A:

Q: Integrate dx/((x^3)(√lnx))

A:

Q: 1 dx Evaluate -Ln(x)

A:

Q: Evaluate and simplify y′. y =  x ln2 x

A: Our Aim is to evaluate and simplify y' :-y=x ln2 x -(i)

Q: solve for y. 3y = 3 ln x

A: 3y=3lnx

Q: y=ln2x

A:

Q: Differentiate y=ln [4x(x−7)/(x^3)]

A: Given function, y=ln4xx-7x3 It can be written as y=ln4x-7x2y=ln4x-28x2