Indefinite integral is a simple integral, that is, the derivative is known to find the original function. If the derivative of f(x) is f(x), then the derivative of f(x)+C(C is a constant) is also F(x), that is to say, if you integrate F(x), you may not get F(x) because F(x)+C.
The formula is:
Relative to indefinite integral, there is definite integral. The so-called definite integral has a form. It is called definite integral because the value obtained after its integration is definite, a number, not a function.
Commonly used integral formulas are
f(x)-& gt; ∫f(x)dx
k-& gt; kxx^n->; [ 1/(n+ 1)]x^(n+ 1]
a^x->; a^x/lnasinx->; -cosx
cosx-& gt; Sinks
tanx->; -lncosx
cotx-& gt; lnsinx
secx->; ln(secx+tanx)
cscx->; ln(cscx-cotx)(ax+b)^n->; [(ax+b)^(n+ 1)]/[a(n+ 1)]
1/(ax+b)-& gt; 1/a*ln(ax+b)
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