ECAT Pre Engineering MCQ Test With Answer for Chapter 19 Mathematics

• 2x - 3x + c A
• 
  B
• x²- 3x + c C
• 
  D

The integral of 3x⁵dx is:

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

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

The area bounded by y = x (x2 - 4) and below x - axis is

• 4 A
• 0 B
• -4 C
• 8 D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

The process of finding a function whose derivative is given is called a

• Differentiation A
• Integration B
• Differential C
• None D

Which of the following integrals can be evaluated

• 
  A
• 
  B
• 
  C
• 
  D

• A variable A
• A constant B
• 0 C
• None of these D

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

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

• 
  A
• 
  B
• 
  C
• 
  D

• 1 A
• 2 B
• 3 C
• 4 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

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• sin 2x + c B
• -sin 2x + c C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

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

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

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

• 2 A
• 1 B
• 3 C
• None D

• 2x + 3 A
• x²+ 3 + c B
• 
  C
• 
  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

• 
  A
• 
  B
• 
  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

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