90
If f(x) =fosa
Cosa
t
+ Sinex
ON
f
E
Answers
Answered by
0
Answer:
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Explanation:
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Answered by
0
Answer:
Given:
f(x)=∫
0
x
tsint dt
Using Integration by parts,
f(x)=[t(−cost)]
0
x
+[sinx]
0
x
⇒f(x)=sinx−xcosx
Now Differentiating Both sides wrt x:
f
′
(x)=cosx−cosx+xsinx
⇒f
′
(x)=xsinx
Alternate Method:
Given:
f(x)=∫
0
x
tsint dt
Differentiating both sides, we get
f
′
(x)=xsinx [Using Leibnitz Theorem]
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