Evaluate the integral. Check your result by differentiation. (Use C for the constant of integration.) 3x* dx I (4x5 – 3)4 -1 20( 4x3 – 3 )3

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A: Let,

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A: We need to evaluate ∫5x2-42x3dx. So,                ∫5x2-42x3dx=∫25x4-40x2+16x3dx=∫…

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Q: a. Evaluate the integral ∫ (4x2 + 2x -1) / (x3 +x2)  dx b. Evaluate the integral ∫ x3  /…

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Q: Tutorial Exercise Write as a single integral in the form f(x) dx. f(x) dx + dx f(x) dx -5 Part 1 of…

A: The given expression is ∫-51fx dx+∫12fxdx-∫-5-2fx dx. It is known that for a≤b≤c,  ∫abfx…

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A: Given: ∫(9x-3)e3xdx Integration by parts: ∫uv dx=u∫v dx-∫dudx∫v dxdx Where, v and u functions of x

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Q: 1. Without the use of U-substitution evaluate the integral of 5x* – 3x?(x5 – x³+ 2)$dx

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Q: -3 2. (2x+4)3 8x dX use integration by parts and then find the value of definite integral.

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A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

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Q: Homework: solve the integrals 1 dx VI (1+ v) 2) 2x Vx2 + 1 dx

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Q: Find the general indefinite integral. (Use C for the constant of integration.) (x1.6 + 9x3.5) dx…

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Q: Tutorial Exercise Find the indefinite integral. x2 + 8x + 1 dx x3 + 12x2 + 3x + 4 Step 1 du/dx dx =…

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