ECAT Pre Engineering Mathematic MCQ Test With Answer for Chapter 19 (Integration)

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  A
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  B
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  C
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  D

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  A
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  B
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  C
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  D

Archimedes approximate the function by horizontal function and the area under f by the sum of small

• Parallelograms A
• Squares B
• Retangles C
• Polygons D

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  A
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  B
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  C
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  D

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  A
• In(x²- x + 1) + c B
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  C
• In(2x - 1) + c D

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  A
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  B
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  C
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  D

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  A
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  B
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  C
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  D

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  A
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  B
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  C
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  D

• e^x+ c A
• e^-x+ c B
• x e^x+ c C
• not possible D

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  B
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  C
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  D

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  A
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  B
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  C
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  D

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  A
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  B
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  C
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  D

• Y = -x log x -x + c A
• Y = x log x + x B
• Y = x log x - x + c C
• None of these D

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  A
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  B
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  C
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  D

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  A
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  B
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  C
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  D

• π A
• π/6 B
• -π/2 C
• 2π D

• sin x + c A
• -sin x + c B
• cos x + c C
• -cos x + c D

• X = 100 sinθ A
• X = 10 sinθ B
• X = 100 secθ C
• None of these D

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  A
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  B
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  C
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  D

The differential equation of all st. lines which are at a constant distance to form the origin is

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  A
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  B
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  C
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  D

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  A
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  B
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  C
• none of these D

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  A
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  B
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  C
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  D

An equation in which at least one term contains dy/dx, d² y /dx²etc, is called.

• Differential equation A
• Initial condition B
• General solution C
• Singular equation D

• cot x + c A
• tan x + c B
• -cot x + c C
• -tan x + c D

∫x sin xdx is equal to:

• sin x/x + cos x A
• sin x - cos x/x B
• x cos x + sin x C
• - x cos x + sin x D

• 0 A
• 1 B
• 2 C
• 4 D

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  A
• 
  B
• In f(x) + c C
• f(x) - c D

• cosec x + c A
• -cosec x + c B
• -sec x + c C
• sec x + c D

The arbitrary constants involving in the solution can be determined by the given conditions. Such conditions are called

• Boundaries A
• Variable separable B
• Initial values C
• None D

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  A
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  B
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  C
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  D