Evaluate the definite integral:
Answers
Answered by
14
We can write this equation it like
Let u equal square root of x
u = √x
x = u²
Then Differentiate both sides we get
dx = 2udu _____(1)
So, Now
Now if we put x = 0 in u = √x we get, u = 0
And if we put x = ∞ and we get u = ∞
Hence, and Also we compare tha given equation to the eq ___(1) then we get,
Now,
D(Differentiation) : + u → - 1
I (Integer) : →
So,
Now, focus on
Now put
Now, differentiate
Now, come to complete our sum
Now, focus on
we already know,
If You go from negative infinity to positive infinity, this right here you get
(Because of Gaussian Integral)
Now , finally We have,
I hope it helps you ❤️✔️
Similar questions