chillimath.com

Integrals Class 12 Multiple Choice Test

/10

Get ready to be challenged

Thank you for answering the multiple choice test


Integrals Class 12 (120701)


General Instruction:

1. There are 10 MCQ’s in the Test.

2. Passing %age is 50.

3. After time gets over, test will be submitted itself.

1 / 10

Which technique is most appropriate for evaluating integrals involving rational functions?

a) Substitution

b) Partial fractions

c) Integration by parts

d) Trigonometric substitution

2 / 10

The integral of \(\frac{1}{x^2}\) with respect to x is:

a) \(\ln|x| + C\)

b) \(-\frac{1}{x} + C\)

c) \(\frac{1}{x} + C\)

d) \(-\ln|x| + C\)

3 / 10

The integral of \( \sin(x) \cos(x)\) with respect to x is:

a) \(\frac{1}{2}\sin^2(x) + C \)

b) \(-\frac{1}{2}\cos^2(x) + C\)

c) \( -\frac{1}{2}\sin^2(x) + C\)

d) \(\frac{1}{2}\cos^2(x) + C\)

4 / 10

If f(x) is an odd function, then the integral \(\int_{-a}^{a} f(x) dx\) is equal to:

a) 0

b) \( 2\int_{0}^{a} f(x) dx\)

c) \( \int_{-a}^{0} f(x) dx\)

d) \( \int_{0}^{a} f(x) dx\)

5 / 10

If \(F(x) = \int_{0}^{x} f(t) dt\), then according to the Fundamental Theorem of Calculus,  F'(x)  is equal to:

a) f(x)

b) F(x)

c) \(\int_{0}^{x} f'(t) dt\)

d) \(\frac{d}{dx} \int_{0}^{x} f(t) dt\)

6 / 10

The integral \( \int \frac{1}{1+x^2} dx\) can be evaluated using:

a) Trigonometric substitution

b) Partial fractions

c) Integration by parts

d) Substitution

7 / 10

The definite integral of \(e^x \) from 0 to 1 is equal to:

a) \(e^{-1}\)

b) \(e + 1\)

c) \(e^2 – 1\)

d) \( e^2 + 1\)

8 / 10

Which of the following is true regarding definite integrals?

a) They can be negative.

b) They always evaluate to zero.

c) They represent the area under the curve.

d) They only apply to continuous functions.

9 / 10

Which method is typically used to evaluate integrals of products of functions?

a) Substitution

b) Partial fractions

c) Integration by parts

d) Trigonometric substitution

10 / 10

 Integration by parts is most useful when dealing with:

a) Exponential functions

b) Trigonometric functions

c) Polynomial functions

d) Rational functions

Your score is

0%

Please rate this quiz

Thank you for answering the multiple choice test

Pos.NameScoreDuration
There is no data yet

Resources