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QUESTION: 1

The value of the integral is:

Solution:

**Correct Answer : d**

**Explanation : ∫(-1 to 1) e ^{|x| }dx**

**∫(-1 to 0) e ^{|x|}dx + ∫(0 to 1) e^{|x|}dx**

** e ^{1} -1 + e^{1} - 1**

**=> 2(e - 1)**

QUESTION: 2

Solution:

∫(-a to a)f(x)dx

= ∫(0 to a) [f(x) + f(-x)] if f(x) is an odd function

⇒ f(-x) = -f(x)

QUESTION: 3

The value of is:

Solution:

QUESTION: 4

The value of the integral is:

Solution:

QUESTION: 5

Solution:

∫(0 to 4)(x)^{1/2} - x^{2} dx

= [[(x)^{3}/2]/(3/2) - x^{2}](0 to 4)

= [[2x^{3}/2]/3 - x^{2}](0 to 4)

= [[2(0)^{3}/2]/3 - (0)^{2}]] - [[2(4)^{3}/2]/3 - (4)^{2}]]

= 0-0

= 0

### Important Properties of Definite Integrals

Doc | 1 Page

### Important Properties of Definite Integrals

Doc | 1 Page

### Properties of Definite Integrals: Part 1

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### Properties of Definite Integrals: Part 3

Video | 28:25 min

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