|(3x3 – 2x² + 1) sinh 2x

Q: Evaluate J by means of trapezoidal rule using n = 10 and n = 20: 1 1 = [ exp(-x²)dx Note that this…

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Q: Evaluate the following definite Integrals by using Gamma or Beta Functions: f¹[V√2x In (√x)]³dx CS…

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Q: Evaluate the following integrals using the appropriate technique. dx (a) S (b) Sp5lnp dp 5-3x

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Q: Use any method to evaluate the integrals ∫cot x/cos2 x dx

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Q: evaluate the integral using the methods covered in the text so far.

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Q: evaluate the integrals by substitution method J v2 + xdx

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Q: 1. S(In x)² dx

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Q: Evaluate the following integrals using FTOC. 1 dx 4. |x| dx 2.

A: This question is related to integration. We will solve this question by using properties of…

Q: -+inf In(tan¬'x) dx 1+ x2

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Q: Evaluate the following integrals using Trigonometric Substitution: x-1- 16x dx x 2. dx 9 dx 25t2 - 1…

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Q: (x²-x)dx

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Q: (x³-4x) dx

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Q: Approximate the following integrals using Gaussian quadrature with n = 3 and compare your answers to…

A: Given ∫01x2e-xdx

Q: 5tan 2x -dx sin²2x-1 8.

A: Put tan2x=t and using integration of ax dx =ax /loga

Q: Use the Table of Integrals to evaluate the integral.  ∫ x Sin( x2) Cos (3 x2 )dx

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Q: Use reduction formulas to evaluate the integrals ∫ 8 cos4 2πt dt

A: To solve,    ∫ 8 cos4 2πt dt Using reduction formula.

Q: -1 tanx 4. 1+x?

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Q: (x² + 2x) cos(2x) d»

A: Given problem:- ∫ (x2 +2x)cos(2x) dx

Q: cosx dx sinx +1

A: SolutionGiven∫cos xsin x+1 dxwe need to find the integration of the above

Q: 1. Jổ xdx xdx ull ch 2. √²2² (x²-x)dx 3. f2, xdx

A: We have to solve as per guidelines Solving by fundamental theorem of calculus

Q: (2+ v 9-x²) dx -3

A: Given integral is ∫-302+9-x2dx.

Q: 1. x +4 √x -dx

A: We will use substitution method.

Q: Find the integral J dx using the following methods: х2 — 9 -

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Q: Evaluate the following integrals. 13 1 sin²x -dx

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Q: Using trigonometric substitution x³dx 1. S Vx2- 9 xdx 2. 3 (V16-x²)

A: This question is based on Indefinite Integral

Q: -3x+1) -3х 2-3* dx

A: According to our company policy we are supposed to answer only first question and rest can be…

Q: 2. dx 1+√√x

A: integration

Q: Evaluate the following integrals using the tabular method. (i) (ii) (3x³ – 2x² + 1) sinh 2x

A: Evaluate the integrals using tabular method.i) ∫e2xsin2x dxii) ∫3x3-2x2+1sinh2x dx

Q: Evaluate the following integrals.

A: The given integral to evaluate ∫π3π2sin2xesin2xdx     To evaluate this integral first substitute the…

Q: Q2) By using a division method. Evaluate the following integrals: y?tan-'ydy

A: To find the integration

Q: Find the indefinite integral f Vx2 – 6x + 5 dx using an appropriate trigonometric substitution.

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Q: Evaluate the following integrals.

A: We have∫x21−9x2dx

Q: Evaluate the following improper integrals provided they conver dx a) S Vx-x2

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Q: Evaluate the following integrals. Show all the necessary solutions. 5 - 4x² dx 4. 3 + 2X

A: Here we have to integrate the given Integral.

Q: 9-x2 dx. Use trigonometric substitution. x2

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Q: |(3x (3x3 – 2x2 + 1) sinh 2x

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Q: Determine the following integral by making an appropriatesubstitution.

A: Given∫cos3x2-sin3xdx

Q: Evaluate the integral using an appropriate method. T/3 x sin(3x) dx

A: ∫0π3x sin(x)dx

Q: 2. x² V1-x? dx_

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Q: 2 S²₁ (x² x) dx ,

A: To find out the integration.

Q: (x² - 2x + 3)dx

A: Given ∫01(x2-2x+3)dxTo evaluate the integral:

Q: 5. Jxе2x dx

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Q: Evaluate the following definite integrals using substitution: jx(1-6x* )'dx

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Q: To evaluate the integral Vx2 + 4x + 5 dx using a trigonometric substitution, use the substitution…

A: As we know that 1+tan2x=sec2x

Q: Evaluate the following integral by using appropriate method. an 3x2 dx x² -25

A: Given:  f(x) =∫3x2x2-25dx                   =3∫x2x2-25dx      By using trignometric substitution Let…

Q: Evaluate the following integral by using the substitution method sinyw dw

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Q: Evaluate the following integrals using the tabular method. (i) 2x sin 2x dx

A: We need to evaluate the integral ∫e2xsin(2x)dx by tabular method

Q: Evaluate the integral by using multiple substitutions. x² sin (9x2) Vcos (9x³) dx COS 25)

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Q: Evaluate the following integrals using Trigonometric Substitution: 1. X-1- 16x dx

A: Given integral: ∫x1-16x2dx