Evaluate x ln(x² + 1)dx. (Hint: Use Integration by parts) (x² + 1)ln (x² + 1) − x² + C - Option 1: Option 2: Option 3: Option 4: HIN 1 (x² + 1)ln (x² + 1) + ½ x² + C In (x² + 1) = ²x² + C - In (x² + 1) + x² + C 2 2

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A: This question is based on substitution method.

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A: Topic = Algebra

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A: Please see the below picture for detailed solution.

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A: Please refer to the image below

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Q: 23. Given f(x)=3+2x², and g(x)=x-5, find (f-g)(x). 08+2² 0-2+3x² 2x²-x-2 2x²-x+8 ◄ Prev Next

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Q: Solve x(1): dy/dt + x = 1; dx/dt -y + 4et = 0; x(0)=0 and y(0)=0. O 7.88 O 3.78 -5.58 O -6.75 O 9.02

A: We have to slove above questions

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A: sinα = 0.784 sinβ = 0.577 sin(β+α ) = sinαcosβ + cosαsinβ cos(α-β) = cosαcosβ + sinαsinβ  use this…

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A: Given a1 = 1 an = an-1 + n  for  n≥2.

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A: f(t)=(et-e-t)2

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A: We have to sketch the graph and state the transformations.