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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  D

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

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  A
• In(x²- x + 1)⁴+ 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

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  A
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  B
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  C
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  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

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  A
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  B
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  C
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  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

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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
• 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

• 5x^{4 + c} A
• 1/6 x⁶+ c B
• 5x²+ c C
• 1/5 x⁶+ c D

The approximate increase in the area of a circular disc if its diameter increased form 44cm to 44.4cm is

• 0.4cm A
• 8.8πcm B
• 17.6 πcm C
• 35.2πcm 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

• 0 A
• 1 B
• 2 C
• 4 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

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  A
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  B
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  C
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  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

∫x/Sin² x dx is equal to:

• x cot x + ln|sin⁡x | A
• -x cot x - ln|sin⁡x | B
• x cot x - ln|sin⁡x | C
• x. tan x- ln|sec⁡x | 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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  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

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