Q-How-will-you-define-integrating-constant-C-In-how-many-ways-can-you-define-C-

Question Number 74891 by vishalbhardwaj last updated on 03/Dec/19

Q . How will you define integrating

constant C ? In how many ways can you

define C ?

Commented by vishalbhardwaj last updated on 03/Dec/19

what is C stand for ?

Commented by vishalbhardwaj last updated on 03/Dec/19

define c, its basic mean ? ?

Commented by MJS last updated on 03/Dec/19

\frac{d}{d x} [F (x) + C_{1}] = \frac{d}{d x} [F (x) + C_{2}] = f (x) \forall C_{1}, C_{2} \in R

\Leftrightarrow

\int f (x) d x = F (x) + C with C \in R

or what do you mean ?

Commented by MJS last updated on 03/Dec/19

C is a constant factor . the integral is never

unique because while derivating you lose

the constant factor

\frac{d}{d x} [x^{2} - 3 x + 5] = \frac{d}{d x} [x^{2} - 3 x - 125890] =

= \frac{d}{d x} [x^{2} - 3 x + C] = 2 x - 3

\Rightarrow

\int 2 x - 3 d x = x^{2} - 3 x + C

C is any value

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