Integral Formulas

Question 1

integral 1/x dx

Answer 1

ln|x| + c

Question 2

integral cosx dx

Answer 2

sinx + c

Question 3

integral sinx dx

Answer 3

-cosx + c

Question 4

integral tanx dx

Answer 4

ln|sec x| + c

-ln|cos x| + c

Question 5

integral cotx dx

Answer 5

ln|sin x| + c

-ln|csc x| + c

Question 6

integral sec²x dx

Answer 6

tan x + c

Question 7

integral csc²x dx

Answer 7

-cotx + c

Question 8

integral sec x tan x dx

Answer 8

sec x + c

Question 9

integral csc x cot x dx

Answer 9

-cscx + c

Question 10

integral a^x dx

Answer 10

1/(lna) * a^x + c

Question 11

integral 1/(root(1-x²))

Answer 11

arcsin x + c

Question 12

integral 1/(1+x²) dx

Answer 12

arctan x + c

Question 13

integral 1/(x root(x²-1))

Answer 13

arcsec|x| + c

Question 14

integral a

Answer 14

ax + c

Question 15

integral xⁿ

Answer 15

(xⁿ⁺¹)/(n+1) + c