① Integration of 2y
dy?
Answers
Answered by
1
Answer:
Let I=∫
1+y
2
⋅2ydy
Let u=1+y
2
, then du=2y dy.
I=∫u
1/2
du
=
(1/2)+1
u
1/2
+1
[Integrate, using rule no. 3 with n=1/2]
=
3
2
u
3/2
+C [Simpler form]
=
3
2
(1+y
2
)
3/2
+C [Replace u by 1+y
2
].
Answered by
1
The integration of 2ydy is y² + c.
Procedure:
To solve the given integral we can use the integration rule for polynomials:
We can now use the above formula to solve the integral:
Hence, the integration of 2ydy is y² + c.
#SPJ2
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