CALKI

Jć£t = ;t+C	jV7dx = j<Jx^r+C
Ja<£t = ajt+C	j-j=dx = 2Vx+C
fjt^n<£t = —*"^+1+C J « + l d/a n * -1 j£ = lnW+C	f—^— = —\n\ax+b\ + C Jax+b a dla a*0 Jsinjtćit = -cos x+C
\a^x dx = -^—a^x + C J Ina	Jcos;cć£c = sin;t+C
fe^xdx=e^x+C	J* tg;tdx = -lnjcos x\+C

(ax+b)ⁿ dx = ——^—-(ax+b)ⁿ⁺' +C, dian*-1. a(n + l)

f—dx = lgx+C , gdy cosjt5*0 J cos x

f—dx = -ctgx+C , gdy sin.x*0 J sin x

x +a

J ^ -₂-dx = ^arc tg^+C , dla a*0

r i    x

,    -dx = arcsin—+ C , dla a*0

J /2    2    a

^J \a -x

jj ^ —~ <£c = ln|;cW;t²-a² | + C

---dx = —In

a²-*² 2a

a + x

a-x

⁺ C, dla a>0 i \x\*a