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# Definite Integral | IIT JAM 2018 | Problem 4 Try this beautiful problem from IIT JAM 2018 which requires knowledge of the properties of Definite integral.

## Properties of Definite Integral -IIT JAM2018 (Problem 4)

Let be positive real number. If is a continuous and even function defined on the interval , then is equal to :-

• • • • ### Key Concepts

Definite Integral

Properties of definite Integral

Even function / Odd function

Answer: IIT JAM 2018, Problem 4

Definite and Integral calculus : R Courant

## Try with Hints

In this first I will give you the properties we need to solve this problem :

Property 1 : [Where is continuous on ]

Property 2 : If is an even function i.e., then Can you drive it from here !!!! Give it a try !!!

Let  [Since, is continuous then ]  [Since is even] Adding and we can get some interesting result !!!

Adding and we get ,     [Since is even ] [ANS]

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Try this beautiful problem from IIT JAM 2018 which requires knowledge of the properties of Definite integral.

## Properties of Definite Integral -IIT JAM2018 (Problem 4)

Let be positive real number. If is a continuous and even function defined on the interval , then is equal to :-

• • • • ### Key Concepts

Definite Integral

Properties of definite Integral

Even function / Odd function

Answer: IIT JAM 2018, Problem 4

Definite and Integral calculus : R Courant

## Try with Hints

In this first I will give you the properties we need to solve this problem :

Property 1 : [Where is continuous on ]

Property 2 : If is an even function i.e., then Can you drive it from here !!!! Give it a try !!!

Let  [Since, is continuous then ]  [Since is even] Adding and we can get some interesting result !!!

Adding and we get ,     [Since is even ] [ANS]

## Subscribe to Cheenta at Youtube

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