ECAT Pre General Science MCQ Test With Answer for Mathematics Chapter 19

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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

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  A
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  B
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  C
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  D

• Always negative A
• Zero B
• Always positive C
• Infinity D

The area under the curve y = 1/x² between x = 1 and x =4 is:

• -25 A
• 0.75 B
• -0.35 C
• -10 D

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  A
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  B
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  C
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  D

• a sec(ax + b) + c A
• - a sec(ax + b) + c B
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  C
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  D

The integral of 3x⁵dx is:

• 15 x⁴ A
• x⁶ /2 B
• 1/6x⁵ C
• x⁵ /ln3 D

The area enclosed between the graph y = x² -4x and the x- axis is:

• 20/3 A
• 41/3 B
• 32/3 C
• 25/3 D

• e^x+ c A
• e^-x+ c B
• x e^x+ c C
• not possible 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
• a f(x) + c B
• f(x) + a 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

∫f(x) is known as:

• Definite itegral A
• Indefinite integral B
• Fixed integral C
• Multiple integral D

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

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  A
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  B
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  C
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  D

The differential equations of all conis whose axes coincide with the co-ordinate axis is

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  A
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  B
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  C
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  D

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

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  A
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  B
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  C
• none of these 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

The area between the x-axis and the curve y = x² + 1 from x = 1 to 2 is:

• 15/6 A
• 15/4 B
• 10/4 C
• 10/3 D

• 1 + tan²x + c A
• tan x + c B
• -tan x + c C
• cot x + c D

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  A
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  B
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  C
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  D

• 1 A
• 2 B
• 3 C
• 4 D

An integral of 1/x dx is:

• 1/x² A
• 1/-x² B
• 1/lnx C
• lnx 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