X+2 Determine the case of the following proper rational function after simplification: (x² - 4)(x³ - 8) A) Distinct Linear Factors/Distinct Irreducible Quadratic Factors B) Repeated Linear Factors/Repeated Irreducible Quadratic Factors (C) Distinct Linear Factors/Repeated Linear Factors Distinct Linear Factor/Repeated Linear Factors/Distinct Irreducible Quadratic Factors

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A: Given problem:-

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A: The region bounded by the curves f(x)=ex, g(x)=e-x and x=3

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A: To find the area bounded by curves

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A: C option is false

Q: Find the area bounded by : f (x)=e*, g(x)=e* and x = 3. A (e³-1)² e3 sq. units B (e²+ 1)² e² (e²-1)²…

A: To find the area bounded by curves

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Q: If f(x) = (A) B - St √1+1² 1+e' 0 In (secx) √ 1+tan²x tanx 1+e 1+tan²x tanx D tanx 1+e sec ³x 1+…

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Q: dx aluate: :S₁ (x+1) log(x+1) A In10 In[log(x+1)] + C 1 B -In[log(x+1)]+C In 10 O In 10 log² (x + 1)…

A: Topic:- application of integration

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A: The limits of integration will be the interval on the x-axis for which the area is bounded.

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A: g(x) is integrated in the interval 0 to 3 f(x) and h(x) are integrated in the interval 0 to 3

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A: C option is false.

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A: Please see the below picture for detailed solution.

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A: On solving this we will get Option (D) is correct

Q: Let the integral be 'solvable' using trigonometric substitution. What is the correct choice of u…

A: Given, ∫ 9/√(x2+6x-7) dx We can calculate using substitute method

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Q: x+2 Determine the case of the following proper rational function after simplification: (x²-4)(x³-8)…

A: The first problem is related to simplification and second one is related to linear composition.

Q: X-2 Se Evaluate the integral: (+3x-7) dx A x²+5x+In 3x-6|+C B +In|3x-6|+C C + In/x-21 +C 3 D)…

A: Solution:

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Q: If f(x) and g(x) are integrable on the closed interval [a, b], and k is a constant, which of the…

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Q: feschucoshudu cschusinhudu sinhucothudu cosh coshu sinhudu O fir

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