Evaluate the integral 8t (181² – 3)î + 1?+ 1 t k dt 12 + 1 /

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A: integration by substitution method

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A: To evaluate the given integrals.

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A: Please refer the attached image for complete solution.

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Q: Evaluate the integrals. |(5 – 5t)i + 4/Ej+ 3 k dt = (-225/2)i((-8.3^(3/2)+2^(15/2

A: From the given problem:   I=∫38 5-5ti+4tj+3t2kdt So, ∫38…

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A: We have to evaluate the given integrate…

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A: We have to find the value of given definite integral. To find that we use integration by…

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Q: Evaluate the following indefinite integral. 1 √ 3 ² + 8 - t dt =

A: Given.

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A: Solution -  Given Integral equation - y = ∫π201+cos2t2dty =12∫π20dt + 12∫π20cos2t dtUsing…

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A: Let given integral be - y = ∫t e-3tdtUsing by parts to integrate the above integral - ∫uv dx = u∫v…

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Q: Find the indefinite integral. 4x2+2x-1 d.x none of these Omz + 1| -31m|z미-글+C o+ Inz* + =*|+C In a+1…

A: Given: I=∫4x2+2x-1x3+x2dx   We know that; The Power rule: ∫ax+bndx=ax+bn+1an+1+C ; n≠-1 And…

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A: To find the given integral integration (3 to 5) 4t/(2-8t²) dt

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A: Consider the given integral ∫2-1tt2dt

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A: ln(a)b= b ln(a)

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Q: Evaluate the integral: J22 SVA-2 01- [] π [] +C dydz 4-2² e² +²

A: double integration using polar form

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A: We first separate the integral

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A: To find the solution of the integration.

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A: Solution of given question is written in below steps.

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Q: Evaluate the integral. ' 2 (8t i – t³ j + 2t³ k) dt Jo

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Q: [4] 5. Use the fact that 1 +C 4e2r dx = 2e2 to either evaluate the improper integral 2 dr, or show…

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Q: 3 In 3x Evaluate the defınite integral : J 6x2

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Q: find the integral from 1 to 4 of (3t^(3/2) i+(t+4)(√t)k)dt

A: The given expression is ∫143t32i+t+4tkdt. Evaluate the value of integral. Here we use the formula…

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Q: Evaluate the following integrals. 13 1 12-r2--v y(r + 2)dzdydx dzdydr -12 0 0 0 0

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Q: Evaluate the integral. 7e 7t dt 7t 3+ e'

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Q: Evaluate the integral. 1 t3 dt t2 - 4 /2V2

A: ∫2241t3t2-4dt=?