If y = t sin (t2) then 
will be:
A
+ c
B
- c
C
+ c
D
cos (t2)
Text Solution
Verified by ExpertsThe correct answer is:
C
Integration of 
The integral of 
with respect to 
is to be found.
Step-by-step Solution
A substitution method is to be used for the integration.
Let 
.
The differential of 
with respect to 
is found: 
.
This implies 
.
The integral is rewritten in terms of 
.
The 
terms are cancelled, and the constant is moved outside the integral: 
.
The integral of 
is found: 
.
The result is substituted back into the expression: 
.
Finally, 
is replaced with 
.
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