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Question 1

1/√(1-x^2)

Answer 1

sin^-1x+C

Question 2

1/√(k^2-x^2)

Answer 2

sin^-1(x/k)+C

Question 3

1/(1+x^2)

Answer 3

tan^-1x+C

Question 4

1/(k^2+x^2)

Answer 4

(1/k) tan^-1(x/k)+C

Question 5

1/x√(x^2-1)

Answer 5

sec^-1(lxl)+C

Question 6

1/x√(x^2-k^2)

Answer 6

(1/k)sec^-1(x/k)+C

Question 7

a^x

Answer 7

(1/lna)a^x+C

Question 8

ca^x

Answer 8

(c/lna)a^x+C

Question 9

a^kx

Answer 9

(1/k ln a)a^(kx)+C