ECAT Pre Engineering MCQ Test With Answer for Chapter 19 Mathematics

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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

• cos 3x + c A
• - cos 3x + c B
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  C
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  D

• x³- x²+ x + c A
• 6x - 2 + c B
• x³- 2x + c C
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  D

∫sin(ax+b) dx is equal to:

• 1/2a cos (ax + b) A
• -1/a cos (ax +b) B
• 1/a cos (ax +b) C
• 1/a ln (ax + b) D

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

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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
• x^-2+ c B
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  C
• not possible D

The approximate percentage increase in the volume of a cube if the length of its each edge changes from 5 to 5.02 is

• 1.2% A
• 1.5% B
• 0.16% C
• 100.16% D

• 4(x³- 3x²)³+ c A
• 3x²- 6x + c 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

• sec 5x + c A
• - sec 5x + c 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
• tan 3x + c B
• cot 3x + c C
• - cot 3x + c 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
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  D

• 1 A
• 2 B
• 3 C
• 4 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

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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

The integral of 3x⁵dx is:

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

The function ø(x) is ananti derivativeof function f (x),x∈Df if

• ø′(x) =∫f(x)dx A
• ø(x) =∫f(x)dx B
• ø′(x) =f(x) C
• ø(x) =∫′(x)dx D

Which of the following integrals can be evaluated

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  A
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  B
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  C
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  D