Differentiation and Integration formula class 12th, Schemes and Mind Maps of Mathematics

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| Differentiation Formulas | k=0 (1) 7 (2) + o(2)] = S"@) £4'(x) (2) ry lm ela gy he S@N =F) (3) = [F(@)9(x)] = S(z)9'(r) + ol) S"(@) 4) = (23) — g@)/"@) = S(2)a'() (5) ir \ q(2) (o(x)/* A Hola) = (ole) #2) 6) fe =n"! (7) < sinz = cos (8) 4 cosx = —sing (9) < tan x = sec? x (10) vote = — ese? (11) Hi weor = seertanz (12) sor = — exe reotz (13) fe e (14) Sa" =a" Ina (15) < inja}=+ (16) = sint a = _ (17) < cos! x ss (18) a2 tan 2 = _— (19) J otte= (20) 2 sec! = wo (21) a caches mes (22) Integration Formulas [reese n+l [ Zamare =z [eusere 2 1s a* dr = —a* +C Ina [mrarszhnz—2+¢ J suds =-cosr+¢ [ cossae =sinz +O J tazdr =-tneosal +¢ [ cede = m|sina| +0 of sor de = In|secz +tanz|+C J seeds =—Inleste + cote] +6 J sctrde= tne +0 / esc? rdx = —cotz +C / secrtanrdz =secr+C escrcotrdr = —cscr+C =sin 240 a 1 x = = tan 4 +x a a = Piece! Hig rr vr? —a2 a J ae I ee |e (2) (3) (4) (3) (6) a) (8) (9) (10) (1) (12) (13) (4) (15) (16) (17) (is) (19)