Question

If ∫f(x)dx =f(x) + c, then the value of f(x) is ???

Answer 1

Answer:

If ∫(x-1/x2)ex dx =f(x)ex+c, then write the value of f(x)/59316/if-x-1-x-2-e-x-dx-f-x-e-x-c-then-write-the-value-of-f-x

Answer 2

Answer:

∫f(x)dx=−2cosx+c

∴dxd(−2cosx+c)=f(x)

⇒dxd(−2cosx)+dxd(c)=f(x)

⇒−2(−sinx)xdx+0=f(x)

⇒2sinx(2x1)=f(x)

∴f(x)=xsinx

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