m www.MATHVN.com – Toán học Việt Nam ww w M AT HV N co ần Tuấn Anh !"#$ %$&' ("# ) "* + $ ("# '$", '- )./01 "#% "/ '-+ "1 ("3 ) 45 ) ",2 6"7' "8 : "/ 45 ) ",2 6$8 ( 0; ("9 6$9+ ' 45# ) +$, +"1 $* ? '"9 '-+ "1 +.*" +",+ ("9 C 45,+ ' 01 +",+ ("9 +"H @4 /, " E0;' I."* %"# + , ) '" ' 45# ) F.# ) = * ' &% - &' 6 ( ) ) ' % & = ∫ = + ∫ " # ! ( sin x ) " +$, ' + = = − sin x 01 + - ? ( cos x ) = cos x !"# ' I." 0& +"H =− = + C $"# = ! + ∫ P0,' ) 4D" ) @"#? + C C − !"# − = = !"# &* − ( u = sin x = ∫ ∫ ∫ − L"7' = ∫ C − u = sin x ⇒ du = d(sin x) C " +$,? = ∫ − = ∫ − Facebook.com/mathvncom ThuVienDeThi.com = − C "/ u = sin x = '" 6459+? − &% - &' 6 ( ) ) ' ww w M AT HV N co * C m www.MATHVN.com – Toán học Việt Nam ' & = = % ∫ ∫ ∫ − − = = − + % ) − C " ( ∫ #& $" # " # ( ' ) ' " +$, sin x = 2sin x cos x = sin x !"# cos x = −2 cos x sin x = − sin x !"# ' - + = ? ∫ =− + C + " ( 0; 6$8 ? = + 0& +"H P0,' ) 4D" @"#? = % 01 I." ) + = + &* − + = + !"# + Facebook.com/mathvncom ThuVienDeThi.com =− ( C + + u = + cos x $ u = + cos x + : u = + cos2 x '6 & − ) ww w M AT HV N co -&' - &' m www.MATHVN.com – Toán học Việt Nam ∫ = L"7' u = "/ u = + − = −∫ =− ∫ =− + cos x '" 6459+? * ' ∫ + + C + cos x ⇒ u = + cos x ⇒ du = d(2 + cos x) C =∫ " +$,? = & &% - =− + C + + &' 6 C ( ) ) ' % & = ∫ = + ∫ − + + − = −∫ + + =− ( + + C & $ ( tan x ) ' = = cos2 x ( cot x ) ' = −1 sin x , &* ( =− Facebook.com/mathvncom ThuVienDeThi.com & & ' % & & − ≠ ( ' - ( = ? $ ) ∫ = C = C9 &* ( u = cot x = ) =− =− ? ( ℝ ww w M AT HV N co m www.MATHVN.com – Toán học Việt Nam ∫ = ∫ = ∫ C = −∫ L"7' u = cot x ⇒ du = d(cot x) C " +$,? "/ = −∫ u = cot x '" 6459+? * ' =− + C =− + &% - C &' 6 ( ) ) ' % & Facebook.com/mathvncom ThuVienDeThi.com ∫ = ∫ = −∫ =− + C ww w M AT HV N co = m www.MATHVN.com – Toán học Việt Nam ) *+ , * $ 23 *+ /0( * ) - 1!1 - 1!15 $3 Facebook.com/mathvncom ThuVienDeThi.com 10