1. Evaluate the integrals (a) fxsin 2xdx, (b) f(3x - 1) eª dx, Hint: Use the Integration by Parts. 3 (c) fx³ In xdx. X

Q: evaluate the integral

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Q: Evaluate the following integrals 3x dx (x2 – 4)2 4. dx b) (3x- 2)*

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Q: S(8x-6)'dx i. + 4e dt -3t ii. 3t 20(3x-2) iii. xp-

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Q: Evaluate | VF In(r)dx by using integration by part.

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Q: 4x2+6x+1 dx (x+3)(x²+2x+2)

A: =?

Q: 20. Use integration tables to find J coox 7sinx + 5sinx + 4 dx

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Q: [(4x³ (4x³-9x² + 7x + 3)e¯x dx

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Q: Evaluate the integral 4 (4x +2) In (4x+2) dx.

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Q: Evaluate by integration by parts x3 Jo √x² +1 So dx

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Q: use integration by ports 2. ) x Ln x dx

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Q: 3ln(x-2) d.x. 3. Compute the integral / 5(x – 2)

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Q: What is the discriminant of the PDE? 2 d2u/dx2= 8 d2u/dt2

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Q: IV. Exercises A. Solve the following integrals: (1) /20. (2) / (2e + 4"). da (3) 2(5") dr

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Q: Integrate: 1 ex a) foxx dx = 1+ex 18x²-2 3x-1 =) S³ dx = b) √4 2x²-50 dx = X-5 d) f(x-1)² dx =

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Q: In² xdx

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Q: 11.f (4x+5) dx √1-2x

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Q: 3 (x²+2)

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Q: Evaluate the following integral. dx (x² + 16)2 (A) 능 (구16+ 16arctan()) +C (B)(+16 +is arctan() + C…

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Q: (b) 3x + 11 S 2 -dr x²-x-6

A: The objective is to evaluate the integral ∫3x+11x2-x-6dx.       Concepts used: 1.∫1xdx=ln|x|+c,…

Q: -1 | tan *xdx

A: The given integral,       ∫tan-1x dx

Q: 1 point) Calculate the integral: 1 dx = (x + 8)(x + 4)

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