What is d/dx (x^2 cot x)? Which one is the right answer? Answers: 1. 2x cotx-x^2 csc x 2. 2x cotx + x^2 csc x 3. -x^2 csc^2x 4. 2x cotx-x^2csc^2x 5.-x^2 csc^2x + x^2cotx

Q: sinh³ (x) cosh (x) dx =

A: we have to evaluate the integral ∫sinh3x cosh8xdx use the formulas,…

Q: (sech°x)/1+ sin? if y = dx dy Find tanh°x

A: Given:-       To find:- dy/dx

Q: find the most general antiderivative or indefiniteintegral. You may need to try a solution and then…

A: C=integrating constant

Q: Integrate O sinh 2x dx

A:

Q: 1. Approximate | sin(x²) dx with 12 subintervals by Trapezoidal rule. 1 Simpson's - rule. (a) (b) 3…

A:

Q: arccos 2x dx 3.

A: We will use integration by parts. The solution is given below.

Q: 14.Use a substitution to evaluate / aVx+1 dx rVa+1 dx. Show all details of the process.

A: To solve- given integral by substitution  method.

Q: Evaluate

A:

Q: integral 4x sin 2x dx L

A: Given: I=∫4x4sin2xdx for evaluating given integral, we use integral by parts theorem according to…

Q: 3. S. 2 cotx-3 sin²x dx sin x 4. (2x2+x dx x+1

A:

Q: The antiderivative of ∫ 1 / √(1 − x2)  dx can be either arcsin x + C or −arccos x + C. Does this…

A:

Q: 3. Evaluate dx. Hence find the value of sinx dx. Va -x)

A:

Q: Integrate tan -1 x dx without using integration by parts.

A: We will find the solution in the following step.

Q: Integrate fx cos(4x) dx fa

A:

Q: (1+x° 2) 늪(cot-1 () - d dx 1-x,

A: Solution:To find:ddx cot-1 1+x1-x=?Formula:ddxcot-1x=-11+x2ddxuv=vu'-uv'v2

Q: The integ ral csc(0.5) dx is equal to

A: Follow the procedure given below.

Q: Approximate - -1x+3 -dx using trapezoidal rule with n=4 and Simpson's rule with n=4.

A:

Q: integral of tan3xsec^4(3x) dx

A:

Q: 1. ļ | sinh 3x dx

A: The objective is to evaluate the integrarion.

Q: 3. x)dx sin(ln

A:

Q: The rate at which the total average of COVID cases is dx increasing at x = 10 tents and 1 tent per…

A: Given,    no. of tent = 25 ,  average no. of cases=6

Q: Tutorial 14 If y = (sin-1 x)², show that dy (1 – a²) - dy = 2. dx dx?

A: Given, y=sin-1x2 Differentiate with respect to x y'=2sin-1xddxsin-1x=2sin-1x11-x2y'=dydx=2sin-1x1-x2…

Q: dy Find by implicit differentiation. dx 1/3 (5x + 4y)3 = 2x² dy dx Check ||

A:

Q: Use Simpson's rule to evaluate 1 -dx, by dividing the interval into 4 equal (5x-2) parts. Find the…

A:

Q: ex/Eveiluene the fallowing integrels 21/dx XInx

A: The given integrals are 1. ∫dxx1-x2. ∫dxx ln x

Q: +2 dy x2 + sinx – y = 0 dx

A:

Q: sin“ (x)dx 4

A:

Q: dx

A:

Q: (3 sin y – 5x)dx + 2x² cot ydy = 0

A: Given the differential equation:       (3sin y-5x)dx+2x2cot y dy=0 Solve using substitution method.

Q: Sinhx cosy dx = coshx siny dy

A:

Q: Explain graphically why there is no solution to cosh x = sinh x

A: cosh x = sinh x. We need to explain graphically why there is no solution to the given equation.

Q: (StI At ds

A:

Q: Differentiate y= arctan sinh x. coshx A. 1-sinh x cosh x B. cosh x C. ainh-x D. 1+sinh-x

A:

Q: dy BY IMPLICIT DIFFERENTIATION: 9x dx 1. FIND %3D secy

A: We have to find dydx by implicit differentiation: 9x=sec y We know the formula of differentiation,…

Q: find the most general antiderivative or indefiniteintegral. You may need to try a solution and then…

A: We have to find and check the answer by differentiation of the indefinite integral: ∫-sec2 x3dx…

Q: Integrate f sinh 2x dx

A: In this question we have to find Integration.

Q: Integrate: Jez sin(3x) dx

A: Solve the integration by substitution method

Q: Integrate: cos Gx) – sinh(2x)]g

A: As per our guidelines only one question can be answered.Please repost the next part in next…

Q: 3 ( tann cax) sech' cax) dx Iet v = +anh Cax) = 2 sech cax) dx dx = du 2 sech' cax ) u sech ca* ) du…

A: We  calculate it by using only  calculator. Where we put value of tan(6) as value of tanh(6) and…

Q: dy dx by implicit differentiation. 9. Find sinx +Scos 3y = 4

A:

Q: 1 y = [cosh(2x)]°or¯*( cot-1 3 VX

A:

Q: X= sin 2tS In %3D Find dw 2- Cost

A:

Q: find the most general antiderivative or indefiniteintegral. You may need to try a solution and then…

A: Evaluate: ∫x2-1dx

Q: calculate the integral.

A:

Q: Differentiate. y=de* +6 dx

A: Given y=ex+6

Q: 7. dx * = + 2 dy Lal

A:

Q: 10.y = Arc cot (sinh3x) 11. y = cosh?4x - cos 12. y = In (sinh4x) cosh8x +x² 2

A: To find dy/dx: 10.y = arc cot ( sinh3x ) dy/dx = [1/(1+sinh23x) ]( cosh3x) 3  = (3 cosh3x) /…

Q: d. tion to prove that (cscx) dx = – CSC X COt x. 86. Use the quotient rule and the derivatives of…

A:

Q: Differentiate implicitly to find dy/dx. cos(x) + tan(xy) + 4 = 3

A: Given: cosx+tanxy+4=3We need to find dydx.Recall the formulas: ddxcosx=-sinx…

Q: = Evaluate Se cos 3x dx using integration by parts method.

A: Given,          ∫e-3xcos3xdx