Integrals Flashcards
(19 cards)
∫tan dx =?
log |sec x| + c
∫cot x dx =?
log |sin x | + c
∫sec x dx=?
log |sec x + tan x| + c
∫cosec x dx=?
log |cosec x - cot x| + c
∫sec^2 x dx=?
tan x + c
∫cosec^2 x dx=?
-cot x + c
∫sec x + tan x dx=?
sec x + c
∫cosec x cot x dx=?
-cosec x+c
1+sin2x=?
(cos x + sin x)^2
1-sin2x=?
(cos x - sin x)^2
∫1/a^2+x^2 dx =?
1/a tan^-1 (x/a) + c
∫1/a^2-x^2 dx =?
1/2a log |a+x/a-x| + c
∫1/x^2-a^2 dx =?
1/2a log |x-a/x+a| + c
∫1/ (a^2+x^2)^3/2 dx =?
log |x + (a^2 + x^2) ^ 3/2| +c
∫1/ (a^2-x^2)^3/2 dx =?
sin^-1 (x/a) + c
∫1/ (x^2 - a^2)^3/2 dx=?
log |x + (x^2 - a^2) ^3/2 + c
∫(a^2 + x^2) ^3/2 dx=?
x/2. (a^2 + x^2) ^3/2 + a^2/2 log |x + (a^2 + x^2)^3/2 + c
∫(a^2 - x^2) ^3/2 dx=?
x/2. (a^2 - x^2) ^3/2 + a^2/2. sin^-1 (x/a) + c
∫(x^2 - a^2) ^3/2 dx=?
x/2. (x^2 - a^2) ^3/2 - a^2/2 log |x + (x^2 - a^2)^3/2 + c
