Q3: Find the integral for the following functions: - 1 3)S sinh(x)-cosh(x) ax

Q: Find the indefinite integral: cos ( πx ) dx sin, ( π )

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Q: Evaluate the definite integral using the first four Newton-Cotes quadrature а. x cos xdx 3 x + 3 dx…

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Q: Evaluate the definite integral 3 10 sin (z)dz

A: To solve the definite integral. Ans=5

Q: Find the indefinite integral.

A: I  = ∫x sin (3x2) dx          ut    3x2 = t                6x dx = dt              xdx = dt6

Q: Evaluate the indefinite integral 2 sin°(s) s cos sds

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Q: Which among the following definite integrals is eq f(x)dx -1 (x)dz ?

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Q: Which of the following definite integral has the greatest value? .5 (А) 6- xdx 3 | (x² + x)dx В /2…

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Q: Find the indefinite integral f V9+x² x3 dx using an appropriate trigonometric substitution.

A: To find :  I=∫x39+x2dx

Q: 1. Approximate the value of each of the following definite integrals using: i. Trapezoidal Rule

A: As per Bartleby's answering policy, we can answer only one question, so kindly post the remaining…

Q: -aluate the definite integral (Show your ork). + sin(x) + 1 )dx

A: Using integration ,

Q: Evaluate the definite integral.

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Q: Q2 - Evaluate the following integrals sinh'x cosh°x

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Q: Find the indefinite integral using the substitution x = 4 sin θ.

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Q: Use all your background to find the integral of the hyperbolic function: 00 sinh ax cosh bx

A: Given: The given integral ∫0∞xnsinhaxcoshbxdx

Q: Find the indefinite integral by using the appropriate formula   ∫ e−3x sin 4x dx

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Q: x sin¬1 x² dx

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Q: Evaluate the following integral. - cosh x dx 2. sinhx- sinh x

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Q: Evaluate the definite integral. 1. S(sin(2x) – cos(2x)) dx

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Q: find formulas for the functions represented by the integrals.

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Q: [x² (-2 + x² )* dx

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Q: Evaluate the following integrals.

A: Given: I=∫012sin-1x1-x2dx                                              ...1 for evaluating given…

Q: calculate the integral.

A: Given integral is WE will use following substitution to evaluate the integral.

Q: Evaluate the integral ∫sinhxcosh(−x)dx.

A: Given integral:

Q: 7. Find the integral of the hyperbolic function below. 6 sin(x) cosh[cos(x)] dx

A: Evaluate: ∫6 sinx coshcosx dx

Q: 15 – 5 sin (z) ) dz

A: To solve the given indefinite  integral.

Q: 4. Evaluate the definite integral by using substitution. x-1 dx (x+ 2)2/3 -1

A: given the definite integral is∫-16 x-1(x+2)23dx

Q: Use a suitable substitution to find the indefinite integral S csc(sin 0) · cos(0)d0

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Q: a) Evaluate the integrals using appropriate substitutions. Sine ii) S de Cos0+1

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Q: Evaluate the integral. 6. 2ex dx sinh(x) + cosh(x)

A: Consider the given integral.

Q: Find the following indefinite integrals: (a) / x-4 sec² (x-3 + 1) /tan(x-3 + 1)dx;

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Q: Evaluate the integral.

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Q: (x S+ 3x? - 4 ) dx 12

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Q: sech(In x) 9) dx

A: ∫15 sechln xxdx

Q: (a) Evaluate the following integrals by interpreting each in terms of areas and using basic…

A: As per our guidelines, we are allowed to answer only one question. Since, you have posted multiple…

Q: Find the integral 10 sin (t11 ) dt using the substitution u = t11 Enclose arguments of functions in…

A: The given integral is,

Q: 16z(2r² + 1)°dr

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Q: Find the indefinite integral. Remember to include a "+ C" if appropriate. sin (a) (204 8x dx = 8.

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Q: 22. Given that sinh 2 =, the value of cosh z is A. +- В. D. 4

A: Given: sinh x=34

Q: Solve the Indefinite Integral. S sin Vædz

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Q: S Sen? (Ln y) dy

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Q: evaluate the definite integral.

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

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

Q: Evaluate the indefinite integral. cos x dx (sin x)27

A: Let's find.

Q: 2. S", sec t dt -T/4

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Q: Q/ Find to the following functions: dx 1- sinh (x² + 7x + 12) 2- cosh²(17 – 4x²)

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Q: For ſ sin" (0) cos (0)d0, use a suitable change of variables to determine the indefinite integral.

A: Given : ∫sin7θcosθdθ

Q: Use U-Substitution to evaluate the definite integrals. Sž cos 2x dx (1+x2)2

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Q: Find the indefinite integral. sinh(2 – 9x) dx

A: