4-Ln| x+3 | dx -dp- 4-Ln| x+3|4 + c x+3 4

Q: 3 2 X'+X +2x + 30 - 2 (22-3x+29 2) -dx

A: Let's integrate given integral.

Q: 1 |(12x5 - 11)dx -1

A: ∫-1112x5-11 dx

Q: 2x2-3х-1 -dx (x²+9)(x-5) E. Integrate:

A: Let's integrate.

Q: The numerical value of tanh(ln(3)^0.5)

A:

Q: Evaluate the integral.   7 1    (ln(x))2  / x3 dx

A: The given integral is, ∫17lnx2x3dx

Q: Intergrate (ln x)2. Show all working out.

A: We have to integrate lnx2 that is ∫lnx2dx. Used formula:-  ∫fx⋅gxdx=fx⋅∫gxdx−∫ddxfx⋅∫gxdxdx Here,…

Q: 1 + cosh(x) 1 + tanh(x) 1- tanh(x) 1 cosh(x) cosh(x) + cosh(x) – He* + e*) + e* - o*) e* + e*) - e*…

A: The objective of the question is prove the given identi

Q: Sinh(2×lnx)

A:

Q: 3. :-3 + x – 5x² + 3x³ + 3x* x² +x- 2 Evaluate -dx 2

A: find integral then evaluate definate integral

Q: √5x²-3 d X - X -dx

A: Given problem:-

Q: V3x-e2x-(x ln x)(ln(ln x))| In(ln x) Given a function, y = dy Show that dx V3x-e2x (x In…

A:

Q: ln[(x^(2)-x-6) /  ((x+7)^(3))] ^ ((1)/(5))  =  ?

A:

Q: x+1 8. -dx (x-1)

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: dx 2. √ 9x² + x³² 12.

A:

Q: 2х -3 -dx. Evaluate(x-2)(x² + 1)

A:

Q: (2x - 3) dx 2021 (2021– 25x25 + 25x2021) dx b. а. 4 -2021

A:

Q: 1 2- 1- dx e5x + e-5x x4 1+ x6 e5x e-S dx

A: As per the guidelines we can solve 1 problem only

Q: Show that ln(1 + e2x) = 2x + ln(1 + e-2x).

A: Given : ln1+e2x = 2x+ln1+e-2x

Q: 1 dx. 0 1+x2 Use the Max-Min Inequality to find upper and lower bounds for the value of, ..... 1 For…

A:

Q: II. DIFFERENTIATION 1. (E- 2x) = A- 2 B.는-2 +2 D.-2 %3! 2x 2x-1 2. 21

A:

Q: 4 (х -3)dx 4. x2 - 6х + 10 3.

A:

Q: (a) Solve In(x+2) - ln x = ln 4 for x.

A:

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

A: Given integral, ∫2+ln2xx1-lnxdx

Q: (z-2)(z-2) lim log1/3 sin((2z+ 1)(z-2)). Z→+2

A:

Q: ln(x − 2) − ln(x + 2)

A: lnx-2-lnx+2Apply log rule:  logca-logcb=logcablnx-2-lnx+2=lnx-2x+2=lnx-2x+2

Q: ln(x-1)+ln(x+2)=1

A:

Q: Hn+1(x)= 2x Hn (x) – 2n H-- 1 (x) H,(x)= 2n Hn-1(x).

A:

Q: lnx+ln(x-6)=ln(3x), then x=

A:

Q: o Example: The equation f(x) = e* – 2x – 2 + ln 4 Has double root at the interval of -2 < x < 2…

A:

Q: integration (x2 / (9 - x2)1/2) dx

A:

Q: ln(ln x)=1

A: Given:

Q: integral (1-64x2)1/2 dx

A:

Q: 3. The Chain Rule. Solve Dx (2x2 + 2)* V2x CSC X

A: This is a problem of differentiation of the function. Based on below formula we will calculate the…

Q: ln 3 − ln x − ln(x + 5) = 0

A:

Q: sin x lim 2х x0 e -2х

A: To evaluate the given limit.

Q: ln(x-2)-ln(x+9)=ln(x-5)-ln(x+4)

A: The given equation is lnx-2-lnx+9=lnx-5-lnx+4.

Q: 2. x²+x+2₂ x²-1 -dx

A: Follow the procedure given below.

Q: 5(3х-1) dx sec ( 3x²-2x)

A: On doing integration we will get

Q: ln(x) < 0 solve for x

A: Givenln(x)&lt;0

Q: 8. +1 (x-1)³ -dx

A: Integration

Q: 5. fx3* dx

A:

Q: x²-3x+2 5. dx = x-1 1- zero 2- -6 2- -2 4- -8

A:

Q: 1+ tanh x e 2x 1- tanh x

A: Prove the following Use the identities

Q: ∫(ln(((4x+2)^2(3x−2))/((x−3)^12 (3x+4)^2)))/xdx

A:

Q: ln(x+1)-ln(x-2)=lnx

A: Firstly, we use the result that lnx-lny=ln(x/y) , then we apply the result if lnx=lny, then x=y.

Q: ln (4x - 2) - ln 4 = - ln (x - 2)

A: to determine.

Q: So-3x)e-3*dx 3.

A:

Q: 2=ln(3x)-ln(2)

A: Given,

Q: True or False:  Ln (1/z) = -Ln z for all nonzero z. If false, justify by explanation or…

A: consider z =x+iy the general representation of the complex number take its reciprocal and perform…

Q: sin x -dx = 5. 2- cos x A. – In(2) В. — Iin(3) c. In(3) D. 1-In(3) Е. In (3)-1 С.

A: Given: The integral  ∫0πsinx2-cosxdx