Integration formulas

Question 1

∫1/x dx = ?

Answer 1

∫1/x dx = ln|x| + c

Question 2

∫sin x dx = ?

Answer 2

∫sin x dx = -cos x + c

Question 3

∫cos x dx=s ?

Answer 3

∫cos x dx=sin x + c

Question 4

∫tan x dx = ?

Answer 4

∫tan x dx = -ln |cos x| + c

Question 5

∫cot x dx = ?

Answer 5

∫cot x dx = ln |sin x| + c

Question 6

∫sec x dx = ?

Answer 6

∫sec x dx = ln |sec x + tan x|+c

Question 7

∫cos x dx = ?

Answer 7

∫cos x dx = ln |cos x - cot x| + c

Question 8

∫1/(x²+a²) dx = ?

Answer 8

∫1/(x²+a²) dx = 1/a arctan x/a + c

Question 9

∫ 1/(√a²-x²) dx =?

Answer 9

∫ 1/√a²-x² dx = arcsin x/a+ c

Question 10

∫ 1/ (√x²+a²) = ?

Answer 10

∫ 1/ (√x²+a²) = arcsin x/a + c

Question 11

∫ 1/(√x²-a²) =?

Answer 11

∫ 1/(√x²-a²) = arccosh x/a + c

Question 12

∫ sin² x dx =?

Answer 12

∫ sin² x dx = 1/2x - 1/4 sin 2x + c

Question 13

∫ cos² x dx =?

Answer 13

∫ cos² x dx = 1/2x + 1/4 sin 2x + c

Question 14

∫ tan² x dx = ?

Answer 14

∫ tan² x dx = tan x - x + c

Question 15

∫ cot² x dx = ?

Answer 15

∫ cot² x dx = -cot x - x + c

Question 16

∫ ln x dx = ?

Answer 16

∫ ln x dx = x ln x - x + c