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

• 
  A
• 
  B
• 
  C
• 
  D

• sec 5x + c A
• - sec 5x + c B
• 
  C
• 
  D

• 
  A
• tan 3x + c B
• cot 3x + c C
• - cot 3x + 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

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• In(x²- x + 1)⁴+ c B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

Which of the following integrals can be evaluated

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  A
• 
  B
• 
  C
• 
  D

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

The solution of differential equation:

• dy/dx+y/x = x² is : A
• 4xy = x⁴+ c B
• 4x = x⁴= c C
• 4 y = x⁴+ c D
• 4x=4x³ + c E

• cos 2x + c A
• - cos 2x + c B
• tan 2x + c C
• cot 2x + c D

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

• 
  A
• 
  B
• 
  C
• 
  D

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

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 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

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

Which of the following integrals can be evaluated

• 
  A
• 
  B
• 
  C
• 
  D

The integral of 3x⁵dx is:

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

∫f(x) is known as:

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• a^xIn a + c B
• a^x+ c C
• x a^x+ c D