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• RD Sharma Class 12 Solutions for Maths

# Class 12 RD Sharma Solutions- Chapter 20 Definite Integrals – Exercise 20.4 Part A

Solution:

We know that

so,

we know,

if

I =

then

I =

2I =

l=π

Solution:

We know that

So,

if

I =

then

I =

2I =

2I=

2I =

2I=0

I=0

Solution:

We know

So,

if

I=

then

I=

So

2I=

2I =

2I=

2I=π/6

I=π/12

Solution:

We know

So,

if

I =

then,

I =

2I =

2I =

2I =

2I=π/6

I=π/12

### Question 5.

Solution:

We know

so,

if

then,

we know if

f(x) is even

f(x) is odd

Here, f(x) = tan2x which is even

hence,

I =

Solution:

We know

So,

if, then

So,

Solution:

We know

Hence,

if,

then

so,

Solution:

We know

hence,

if

Then,

So,

### Question 9.

Solution:

if f(x) is even

if f(x) is odd

here,   is odd and

is even

Hence,

2

Solution:

if

then,

Solution:

let,

we know that,

hence,

Solution:

Let,

we know that ,

so,

then,

Solution:

We know that,

So,

then,

I

Solution:

We know that,

so,

then,

Solution:

We know that,

Let,

hence,

### Question 16. If f(a+b-x)=f(x), then prove that

Solution:

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