We (t+sin 0X 1-sin)
Answers
Answered by
1
answr
search
What would you like to ask?
MATHS
avatar
Asked on October 15, 2019 by
Minaxi Gan
If f(x)=∫
0
x
tsintdt, then write the value of f
′
(x).
Share
Study later
VIDEO EXPLANATION
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]
Similar questions