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

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  D

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• 2x + 3 A
• x²+ 3 + 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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  D

The integral of 3x⁵dx is:

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

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  B
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  C
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  D

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  B
• In f(x) + c C
• f(x) - c D

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• sec 3x + c A
• - cosec 3x + c B
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  C
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  D

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  D

• π A
• π/6 B
• -π/2 C
• 2π 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

• cot x + c A
• tan x + c B
• -cot x + c C
• -tan x + c 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
• x²+ 2x + c C
• (x²+ 2x -1)⁴+ c D

The general solution of the differential equation x dy / dx = 1 + y is:

• 2 A
• 1 B
• 3 C
• None D

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∫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

If the graph of f is entirely below the x-axis, then the value of definite integral is

• = 0 A
• < 0 B
• > 0 C
• None D

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  A
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  B
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  C
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  D

The number of arbitrary constants in the general solution of a differential equation is equal to the different equation

• Order A
• Degree B
• Variables C
• All are correct D

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  D

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  A
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  D

• (x³- 3x²)⁸+ c A
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  B
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  C
• 3x²- 6x + c D