Tabela Derivadas e Integrais, Notas de estudo de Química

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TE RE = derivada Integrais = y= Ê y=axt+b(a,belR) y=a fiax= [a =x+c,c elR y=x" (ne Q) y = no! fadx=x+0,C EIR y=utv- yi=u tv” El - à y=kg(o) k ER) y=kg'(o) UE ias = o PER Euv ra TE ) eine Jx de= 21160 ER en £ — =u y= Uvcur SE — bá v2 uu [lar =mpl+c,CeR q É. x ya yle E E: y-at(aeRi,a4]) y=a"-fna E Ja de= +Clza>0,0 eIR o. = 1 1E— y=inx(xeR,x>0) y . | . fode = +0,CeR ml | =log, x (xa cRx>0a>0,a%1) |) x-?na en x) fcosxdx = senx +€, C eiR y=senx(x ER) y' =cosx El j y=cosx(x ER) y =-senx 7 | senxdx = -cosx + €, € eiR y=ex[12 Erin kez) y'= sec? x E = sec? x fsec?xdx=tgx+C,C elR y=cotgx(x=km,k e Z) y = —cosec? x bote x) = -cossec? x f cossec? xdx = -cotgx +€,C elR esco [x AS th jk € 2) y'=secx -tgx [sex -tgx dx = secx+C,C elR y=cosseox [x *5 th sk e 2) y' =-—cossec x - cotg x J cossec x-cotg x dx =— cossec x+C, CelR dx =arctgx +C, € elR ls dx = Bresen Rd, CelR Fer: " J- q dx = arccosx + €, € elR = e[f69] y=eu-u —— uv 1 y=arcsen 1 ye resen x (| < 1) ——s y=arccos x (ke < 1) + li . L=x? y=arctg x (x elR) y=5 5 +X Eli x + Nx? + roca 1+xº