Standard integrals

Question 1

∫a^xdx

Answer 1

ax/ln(a)+c

Question 2

∫1/(1+x^2)dx

Answer 2

tan^-1(x)+c

Question 3

∫1/(1+x^2)^1/2dx

Answer 3

sin^-1(x)+c

Question 4

∫ sec^2(x)dx

Answer 4

tan(x)+c

Question 5

∫ sec(x)tan(x)dx

Answer 5

sec(x)+c

Question 6

∫ cosec^2(x)dx

Answer 6

-cot(x)+c

Question 7

∫cosec(x)cot(x)dx

Answer 7

-cosec(x)+c

Question 8

∫e^(-a(x^2))dx

Answer 8

(pi/a)^1/2+c