Question
If f(x)=∫xa t3et dt, then ddxf(x)= [MP PET 1989]
Answer: Option B
:
B
f(x)=∫xat3etdt=∫0at3.etdt+∫x0t3etdt
⇒df(x)dx=ddx(∫0at3.etdt)+ddx(∫x0t3.etdt)=x3ex
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B
f(x)=∫xat3etdt=∫0at3.etdt+∫x0t3etdt
⇒df(x)dx=ddx(∫0at3.etdt)+ddx(∫x0t3.etdt)=x3ex
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