Question

Q1.integration of √ ( a² - x² ) dx is?​

Answer 1

Answer:

∫  

a  

1−(  

a

x

​

)  

2

 

​

 

dx

​

=  

a

1

​

∫  

1−(  

a

x

​

)  

2

 

​

 

dx

​

 

Let  

a

x

​

=sint

⇒dx=a.cost.dt

=  

a

1

​

∫  

1−sin  

2

t

​

 

a.cost.dt

​

=  

a

1

​

∫  

cost

a.cost.dt

​

 

=∫dt=t+c=sin  

−1

[  

a

x

​

]+c.where c is the constant of integration.

Step-by-step explanation: