Differentiate: y = 4cos (-)

Q: Separate tanh-1(x+ iy) into real and imaginary parts.

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Q: |(xsin(3x)) dx XS

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Q: Ssin" x 14 x cos' x dx Integrate:

A: Given,        ∫sin14xcos5xdx

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Q: Ily approximate the differential dy when x changes from 64 to 64,07 Y

A: Since the student has posted multiple questions and mention to solve question numbers 1 and 2. But…

Q: Solve using Substitution Method. y(x Tan x + In y)dx + Tan x dy 0

A: The substitution method as follows, y (x tanx + ln y) dx + tanx dy = 0

Q: x sec2x dx (integration by Parts)

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

Q: S(cost x- sin x)dx

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Q: 15) S 3x (x³-1)² dx

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Q: 23 dx V25 – x2

A: We integrate the function using trigonometry substitution.

Q: Find the general solution Using Integrating Factors Found by Inspection. Show complete solution.…

A: Find the general solution Using Integrating Factors Found by Inspection. Show complete solution.…

Q: et-x+l 2x –1 -dx by using substitution method. Integrate

A: First I have made a substitution and integral become easy and then solved . I have written all…

Q: 3G)Ú) Show that the reduction formula for atanx で-u sec"x dx = Sec" 「キu ) Hence use tthe formula to…

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Q: 18 dx Integrate using trig. Substitution: S- x² V9– x²

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Q: dx S COsxtanx

A: Here we will solve the given integration,

Q: Only I method. Except Exact DE (x+2y-1)dx+(2x+4y-3)dy oo

A: First we campare the given differential equation Mdx+Ndy= 0 and then solve it.

Q: Use Euler's Method with an appropriate h value of your choosing to estimate y(4) with y = 0.5, y (1)…

A: Topic- Differential Equation

Q: sinh x – 1 dx cosh x

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Q: That question please

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Q: In x 2. Integrate -dx , (i) using the sub stitution u = Inx (ii) using integration by parts.

A: Integrate by substitutions and by parts

Q: find dy/dx

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

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Q: Sz x² sin 2x dx (Integration by Parts)

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Q: 8 dx Evaluate | by trigonometric substitution integration method? (1+x*)²

A: You have posted multiple questions. As per the instruction, we will be answering only the first one.…

Q: 4In(Arctan x) = 1-y

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Q: (x² cosh(sin(x-y))= intx-vn) = X' dy 9.

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Q: 8. dx +x2 Integrate:

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Q: rIn 2 cosh x dx. Vsinh a x + 4 sinh x +2

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Q: The integrating factor of Y + 3y cscx= cotx is?

A: Consider the given differential equation, y'+3ycscx=cotx This is the first order linear differential…

Q: Solve by integrating factors found by inspection: y (x2 - y2 + 1)dx - x (x2 - y2 - 1) dy = 0

A: To solve: y(x2 - y2 + 1)dx - x(x2 - y2 - 1)dy = 0 ⇒yx2 dx- y3 dx+ y dx - x3dy +xy2dy +xdy = 0

Q: Find dy/dx 1. y = x^2(sin^−1 x)^3 2. y = e^tanh x/x^2 − sechx 3. y = tan^−1 (sechx) + sech(tan^−1…

A: We expert are following guidelines.We are supposed to do first question. We have to find dy/dx

Q: Integral of 2cos^2x+3sin^2x dx from 0 to pi/2

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Q: 8 dx Q1 Evaluate | (1+ by trigonometric substitution integration method?

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Q: Find the length of y = ln (sec x) between x = 0 to x = π/4.

A: you meant to find the arc length of y=ln(secx). the formula for the length of the arc in the given…

Q: 2. Use trigonometric substitution to Vx² – 25 dx integrate: 4

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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: 2. Use integration by parts to solve for [x³c x³ cosx dx.

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Q: Q/Evaluate Integral:- sec2 3x dx tan23x-3 tan3x+2

A: To evaluate the integral:

Q: Use Leibniz's rule to find 히증 11 Textbook dx for y= 0 S 7x² 8t - dt. 8t+1 Ask my instructor

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Q: sinh x – 1 dx cosh x

A: The given integral,        ∫sinhx-1coshxdx

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: Determine the general solution of y" + y = tanx using variation of parameters

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Q: Use variation of parameters method to solve b. y" + y = tan x

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Q: Approximate fls 3 + 2x* using Simpson's rule (n=6), then find the percentage of error after…

A: nhbgk

Q: Find the integrating factor μ(x) of y' + 4y - tan(x) = 0 such that μ(0) = 1. μ(x) =

A: See the details solution in below

Q: The area between y = 2.sinx and y= sin2x for 0<x< T is None

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Q: y

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Q: 2. Find the linear approximation to y = sinh (3x) at x=2. State your answer in both exact form and…

A: Find the linear approximation of f(x) at a point x=2

Q: What is the antiderivative of sec2(5x)dx from pi/20 to -pi/20?

A: