rin 2 cosh x dx. Vsinh? r + 4 sinh r + 2

Q: dx 3 cos x+2 sin x-5

A: This integral can be solved by using the trigonometric formulas of sinx and cosx in terms of…

Q: e sint + sin(4t) cos(3t) kdt determine the result of integral

A: We have the given integral is ∫0∞e-te-2tsintt+sin(4t)cos(3t)dt Let…

Q: Using an appropriate substitution, the integral cosxe+2 sinx) dx is equal to:

A: Solve intregal

Q: Evaluate (sin z + cos x) da using by term by term integration 0. Answer:

A:

Q: find tu general Solution of: 2x a) y"-y' - 6y + Cosh = e b) y! -Y = Cosh 2x + Sinh x

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Q: Evaluate the integral. 9 (7 sinh (Vx) dx 9 *7 sinh (x) dx = 1 (Type an exact answer.)

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Q: aluate the integral. Зл/2 3|sin(x)| dx

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Q: Mesin(2x) dx = e$in(2X) + C then the M is equal to Blank 1 If

A:

Q: 28. Se cost sin 2t dt

A: ∫0πecostsin2tdtSolution :∫0πecostsin2tdt2∫0πecostsintcostdtlet, cost=x-sintdx=dxsintdx=-dxat…

Q: The coefficient of sin ( 2x) in the antiderivative of

A:

Q: Complete the integration: sin3(2x) + C ? sin (2x) Ssin"(wcos (x)dx 16 32 Determine the value of "?".

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Q: Verify the integration formula. S 6 sechx dx = tan-1 (sinh 6x) + C (A) No B) Yes

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Q: Find cosh² (t) sinh5 (t) dt.

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Q: az for a – yz+ sin(cyz) = 5. dx 9. Find %3D

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Q: 8. Find the area enclosed by 1 leaf of r=sin30

A: Let's find.

Q: Simplify (if necessary) then Compute: y" +y' for [6(cosh2x- sinh2x)] d -3x2 dx a2 y(z) = [; (z²x+…

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Q: 2x dx by taking n = 4 1+ x Use trapezoidal Rule to evaluate

A: trapezoidal rule

Q: (y5 – x²e») dx dy -11-3

A:

Q: None Q2) prove that cosh(x + y) = coshx coshy + sinhx sinhy

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Q: x 4 dx (x²+4)² S

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Q: valuate the triple integral ***"* sin² (z)ze-²v³ dzdyda

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Q: 4. sinx 1-sin² x dx

A: We have to find the value of the given integral ∫sinx1-sin2xdx

Q: Q2.) Using Trigonometric Integrals (Answer one only 1): S sin 5\3 X sec³ x

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: In? (In(ax)) dx,a >0 -dr, a a. 2x In(ax)

A: You can solve this problem using the substitution method

Q: The value of integral cos (1+x) d, n= 4 by Trapezoidal rule is (up to 4 decimal digit) Answer:

A: The trapezoidal rule can be used to calculate the integral numerically. The formula for the…

Q: I = f, (sinhz + 1)dz. %3D

A:

Q: valuate the integral. 10 sin?(x) cos3(x) dx CoS

A: Perform integration

Q: d. x" tanh 1 dx VX %3D

A:

Q: 2x dx by taking n = 4. 1+x Use trapezoidal Rule to evaluate

A: on solving this we get

Q: What is the antiderivative of sin^2(x) + 2sin(x)?

A: Antiderivative of sin^2(x) + 2sin(x) is given by,  ∫[ sin2x + 2sinx ]dx =∫sin2x dx + ∫2sinx dx

Q: sE de = 6 - +- + arctan( )) +c %3D 1+ Vx

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Q: dx 5 + 4 sin a

A:

Q: Evaluate the integral. sinh 5a -dx +C. 5x

A: Evaluate the integral the given function Sinh is hyperbole function.

Q: Given: y = arctan sinh find y' at x = 2 %3| cosh 1 %3D 1+sinh? 1 cosh 1 O y = %3D 1+sinh 1 cosh 1…

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Q: Q5. Use integration by part to evaluate ſešx sin (e4x )dx

A:

Q: The area between y = 2.sinx and y = sin2x for 0<x <T is 1 None 4

A: To find- area

Q: Find all solutions to cosh z = i sinh z.

A: To find all the solutions of the below equation. coshz=isinhz

Q: sinx dx 5+ cor?x

A:

Q: f sin-¹(x) dx

A:

Q: use methad of false pocition to find Solution accurate within to to Sin x-e ao for o6x<I 34xc4 L5x59…

A: To find - Use method of false position to find solution accurate to within 10-5. sinx - e-x = 0 for…

Q: Use trigonometric substitution to solve the integral Jx*V1+x² dx

A: Note the results :     (Identity)

Q: find integral 2) S sin?xdx dx cos³x

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Q: dy 1+ sin 4y

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Q: In 2 cosh x =dr. V sinh? r + 4 sinh x + 2

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

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Q: Evaluate the integral (Trigonometric Substitution) 4 x*dx (x² + 1)²

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Q: (x² sin(x')dx = 3 %3D

A: Given : Integration of X2sin(X3)dx