Question

If the area bounded by the curve y=f(x), the coordinate axes, and the line x=x1 is given by x1e^1(x1). f(x) is?

Answer 1

@shubhamsrg

Answer 2

e^1(x1) ??

Answer 3

e^x1 sorry.

Answer 4

Kya likh rahe ho? :O

Answer 5

integral f(x) dx from x=0 to x1 = x1 e^(x1) .f(x)

diff karein agar both sides,

f(x) = e^x . f(x) + x.f(x) + x e^x f'(x)

yaha x and x1 ko equivalent maan liya hai (dono variables hain)

=> y= ye^x + xy + xe^x dy/dx

ye hoga solve ?