.. a) Show that sinh(2x) sinh(x). = 2 sinh(x) cosh(x), using the exponential definitions for cosh(x) and b) Evaluate the following integral using an appropriate hyperbolic substitution for x. dx +4

Q: cos(8) cos (sin(0)) de

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Q: Use the Table of Integrals to evaluate the integral. T4 - 9 sin e sin 20 de 4 – 9 sin 0 |

A: We use substitution to integrate the given function.

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) dt | cos?(t) V4 + tan(t)…

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Q: 2. Use a substitution to change the integral into one found in the table of integrals, then…

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Q: (b) Use residues to evaluate the following definite integral: de 6+5 sin 0

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Q: In evaluating the indefinite integral / sin x cos x d , the appropriate u – substitution and. the…

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Q: A. Evaluate the following integrals. ´sec² 0' dx 4. tan 0

A: The integration of the integral is sec2(theta) /tan(theta).

Q: Find the following indefinite integrals.

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Q: use a geometry formula to find the exact value of the definite integral  4x dx on the interval [0,b]

A: The given function is 4x with the interval [0,b].

Q: let b be a constant. use definition to find  (integral 0 to b)(x+1)^2 dx.

A: Given: The expression of integral as ∫0bx+12dx, where b is a constant, To evaluate: The value of…

Q: Find the general indefinite integral. (Use C for the constant of integration.) 2(1 + tan?(a)) da 2…

A: We will solve this problem in following steps

Q: +C. What should be the value of e to make F(0) =0? cos-sino de has the form 2 2 The resulting…

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Q: (1) Evaluate the double integral and sketch the graph. */2 1-cose IT (sin 8) r dr de

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Q: Given the integral J 12cos(5x) dx Use the integral table to help you find the Anti Derivative of the…

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Q: To evaluate the integral /V4 + x² dx using a trigonometric substitution, use the (4+: substitution…

A: NOTE: Refresh your page if you can't see any equations. . .............(1) substitute…

Q: Evaluate the indefinite integral. (Use C for the constant of i | sec?(e) tan°(e) de

A: Topic:- integration

Q: Use the indicated substitution to evaluate the integral.

A: Given:           ∫012x21−x2dx,  x=sinθ

Q: The resulting integral of sin -cos-sino de has the form -F(0)+C- What should be the value of e to…

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Q: The integral cosx -e sinx teSinx + dy may be written as mensinx pr t gerx C, where m, n, p, q, r,…

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Q: Which of the following is one of the correct/convenient steps to evaluate cot-+dx _which will yield…

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Q: ·S- The integral x dx x²+√√√x²-1-1 can be transformed to which of the following using trigonometric…

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Q: Evaluate the following definite integrals arcsin x (a) L 1. V5 + 4x dx (b) dx V1 - x2

A: We have to solve the definite integral

Q: Compute the indefinite integral of the following function. r(t) = (13 cost,7 cos 5t,3 sin 6t)

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Q: b) Evaluate the integral E (1+ etane) Sec20 de

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Q: csch(3 tan x) + sin² x cos? x 1. d.x

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Q: dx a. Evaluate the integral sin x-cos X

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Q: s) Calculate the indefinite integral using Trigonometric Substitution. X [ dx +x²

A: This is a problem related to integral. Based on the trigonometric substitution we will answer the…

Q: B. Evaluate the definite integral using the Simpson's rule, giving the answer correct to 3 decimal…

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Q: Find the indefinite integral. (Use C for the constant of integration.) 8 de cos(8) – 1 8 cot +C

A: The given integral,∫8cosθ-1dθ

Q: (2 + x /T)dx

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Q: dr Evaluate the integral / dx. sin x cos x

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Q: Evaluate the definite integral. * T/2 9 cos(x) sin(sin(x)) dx

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Q: Reduce the following integrals to polynomial type integrals, using an 1) appropriate and explicit…

A: Topic = Integration

Q: Evaluate the following definite and indefinite integrals. (a) / sin(x) cos(x)ešin(=) dx (b) L. V5/2…

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Q: Set up the integral dr, as an integral of a rational function sinh r – cosh I - 1 using the…

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Q: Evaluate the integral. (Use C for the constant of integration.) e^−θ cos(3θ) dθ

A: ∫e-θcos3θdθ We need to Evaluate the integral Using C for the constant of integration.

Q: Evaluate the integral: T So sin(x)dx

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Q: La) J 21) dx. (2rº+1)

A: As per bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: Evaluate the integral. (Use C for the constant of integration.) 2 cos (a) da sin(a)

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Q: Evaluate the integral. (Use C for the constant of integration.) cos 30 de

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Q: Evaluate the following indefinite integral. Use C for any constant of integration. 9 cos x dx = J…

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Q: du 2. f 1-cos? 2u

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Q: (a) Consider the integral dx. Why can't this integral be computed using the Fundamental Theorem of…

A: Solution for a: Given integral is ∫-111x2dx We can write the above equation as…

Q: Find the indefinite integral ∫ dx / (4 + x)3/2 (a) using a table of integrals and (b) using the…

A: a) ∫dx4+x32 Apply u- substitution : u=4+x du=dx plug all this values in given integral and then…

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) dt cos?(t) V5 + tan(t)…

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Q: 2. Use the substitution method to determine the following indefinite integrals: (a) / cos(2r) dæ (b)…

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Q: Evaluate the following integral. x2 dx V1- 144x x2 dx = V1-144x? (Type an exact answer. Use…

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Q: 1) (. . ' Evaluate the following indefinite integrals. g) / sec² x.e²-tan z sin r cos® xdx dx

A: Integration problem......

Q: The function f(z) = sinh(In(z ?)) is equivalet to

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Q: Let f(x) = sin*x %3D Evaluate the integral of f(x) by using the formula S sin"x dx. Evaluate the…

A: Given that: f(x) = sin4x