Core 4

Question 1

d(a^x)/dx

Answer 1

a^x ln a

Question 2

integral of e^x dx

Answer 2

e^x + c

Question 3

integral of e^kx dx

Answer 3

1/k e^kx + c

Question 4

integral of 1/x dx

Answer 4

ln |x| + c

Question 5

integral of 1/ax dx

Answer 5

1/a ln |ax| + c

Question 6

integral of cos kx dx

Answer 6

1/k sin kx + c

Question 7

integral of sin kx dx

Answer 7

-1/k cos kx + c

Question 8

integral of sec^2 kx dx

Answer 8

1/k tan kx + c