Properties of Integrals

Question 1

kdx

Answer 1

kx + c

Question 2

x^n dx

Answer 2

x^n+1/n+1 + c

Question 3

x^-1 dx

Answer 3

1/x dx = ln |x| + c

Question 4

sin x dx

Answer 4

-cosx + c

Question 5

cos x dx

Answer 5

sinx + c

Question 6

sec^2x dx

Answer 6

tanx + c

Question 7

e^x dx

Answer 7

e^x dx

Question 8

what is the fundamental theorem of calculus?

Answer 8

1) If f is continuous on [a,b] then d/dx the integral from a to x f(t) dt = f(x)
2) If F(x) is any antiderivative of f then integral of a to b f(x)dx= f(x) from a to b = F(b) - F(a)