T/2 In (sin x) dr '피/2 In (cos x) dr T In 2

Q: 1 dx, using a (x2 + 1)2 Evaluate the second indefinite integral, trigonometric substitution.

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Q: Find the indefinite integral. See Examples 1, 2, 3, 4, 5, and 8. (Use C for the constant of…

A: To evaluate: ∫2cos⁡(t)1+sin⁡(t)dt Let, I=∫2cos⁡(t)1+sin⁡(t)dt For integration of this form , we…

Q: Using Integration by Parts :-In the given equation as follows, use integration by parts to find the…

A: Integration properties help to integrate the given function. Integration by parts formula helps to…

Q: 10 csc² (x)dx Evaluate the definite integral. Use exact trig values in your answer. 5

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Q: . Evaluate the definite integral using integration by parts. Hint: Find an antiderivative and then…

A: To evaluate,I = ∫01/2xcos(πx) dxLet f(x) = x cos(πx)∴ Antiderivative of f(x)F(x) = ∫xcos(πx) dx

Q: t In(t + 3) dt

A: To solve,   ∫  t ln(t + 3) dt Note : The simplest method for this to solve is integration by parts

Q: [x√1 + x² dx Find the integration in the Simpsons method when n=3 Then compare the integral with the…

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Q: Find the indefinite integral. (Use C for the constant of integration.) sin3 30 v cos 30 de Need…

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Q: sin a -dax. cos? x – 3 cos e Evaluate the following integral

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Q: Trigonometric integrals Evaluate the following integrals.

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Q: Evaluate the integral. (Use C for the constant of integration.) dx x2 + 49 In sec| arctan + tan|…

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Q: Evaluate the definite integral. (Give an exact answer. Do not round.) 8 e2x dx   0

A: The integral of e^x is e^x so the integral of e^ax is (1/a) e^ax. Using this we can integrate the…

Q: Two useful exponential integrals Use integration by parts to derive the following formulas for real…

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Q: /4 18. sec (0) tan (0) do

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) Xx+7 dx

A: The given integral is ∫xx+7dx

Q: Evaluate the definite integral (3 sin x) dx exactly, using the Fundamental Theorem, then evaluate…

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: Use a symbolic integration utility to find the indefinite integral. (Use C for the constant of…

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Q: Find the indefinite integral. (Note: Solve by the simplest method-not all require integration by…

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Q: 3. [x*e"dx x'e

A: Given query is to find the value of the integral.

Q: Using Simpson's Rule: Estimate the integral So (5 sin(x))dx with n = 4 steps and find an upper bound…

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Q: Use integration by parts to evaluate the following as definite integrals. Find the area under the…

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Q: Using Integration by Parts :-In the given equation as follows, use integration by parts to find the…

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Q: Find the integral. (Note: Solve by the simplest method - not all require integration by parts. Use C…

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Q: 10) Depreciation: The rate of depreciation of a building is given by D'(t)=3,000(20 –1) dollars per…

A: 10.

Q: cosh (x) dx sinh (x)dx cosh (x) - sinh (x) is equal to ? B.I A.0 The definite integral of that…

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Q: Trigonometric integrals Evaluate the following integrals.

A: the given integral is: ∫-π3π3sec2θ-1 dθ we have to evaluate the given integral. let the given…

Q: Find the indefinite integrals (most general antiderivatives). You may need to try a solution and…

A: Consider the integration can be written as I=∫csc2x cot2x dxorI=∫1sin2 xcos 2xsin 2xdxI=∫cos…

Q: Evaluate the indefinite integral. (Use symbolic notation and fractions where needed. Use C for the…

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Q: Using Simpson's Rule: Estimate the integral (2 sin(x))dx with n=4 steps and find an upper bound for…

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Q: Find the indefinite integral using the substitution x = 4 sin(0). (Use C for the constant of…

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Q: SK YOUR TEACHER PRACTICE ANOTHER Use the tabular method to find the indefinite integral. (Use C for…

A: find the indefinite integral of x+52 sinx by using tabular method

Q: Use any basic integration formula or formulas to find the indefinite integral. (Use C for the…

A: Given integral to evaluate, This can be written as

Q: Find the indefinite integral. (Note: Solve by the simplest method–not all require integration by…

A: Given,          ∫tlnt+5dt

Q: Find the integral. (Note: Solve by the simplest method - not all require integration by parts. Use C…

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Q: Find or evaluate the integral. (Remember to use absolute values where appropriate. Use C for the…

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Q: Using Simpson's Rule: Estimate the integral "(5 sin(x))dx with n = 4 steps and find an upper bound…

A: Here using Simpson's Rule , we have to estimate the integral and find an upper bound for |Es| and…

Q: (a) Use the Midpoint Rule with n = 6 to approximate integral 8 x-6 S6 dx x+8 Write your answer exact…

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Q: .A: The integral of the following function: In(sin² x) dx tan(x) ay be expressed as: A In®(sin x) +…

A: Topic:- integration

Q: Decide on what substitution to use, and then evaluate the given integral using a substitution. (Use…

A: We evaluate given integral

Q: I need help understanding this particular question.  I will be tested on ones like this so if I…

A: Topic:- application of integration

Q: dx 9. (4–x²)³/2

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Q: valulate the integral of: (9e^s)sin(t-s)ds The integral has a 't' on top and a '0' on the bottom

A: Consider the integral: ∫9essint-sds=9∫sint-sesdsApply Integration By Parts: u=es,…

Q: Evaluate the definite integral and find exact values. Find exact values, no decimal entries. ecos t…

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Q: Evaluate the indefinite integral. (Use symbolic notation and fractions where needed. Use C for the…

A: Let secx = t in this

Q: sin-cos-sine de has the form 4 (0) +c. The resulting integral of +C. What should be the value of A…

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Q: Double table look-up The following integrals may require more than one table look-up. Evaluate the…

A: The following integrals may require more than one table look-up. Evaluate the integrals using a…

Q: Evaluate the definite integral. (Give an exact answer. Do not round.) '5 4x e dx

A: We have to evaluate the definite integral.

Q: 49 — х? dx -7 a) Approximate the definite integral with the Trapezoid Rule and n = 4. b) Approximate…

A: ∫-7749-x2 dx Here, a=-7,  b=7  &  fx=49-x2. Now, ∆x=b-an=7--74=3.5 a). ∫-7749-x2…

Q: 9esin(z) cos(x) dx, u = sin(x)

A: Here, we have to substitute u = sinx.  Therefore we need to use method of substitution to solve this…

Q: Find the indefinite integral. (Note: Solve by the simplest method-not all require integration by…

A: Given, The integral is ∫17arctan x dx.