Integration

Question 1

§ x(e^(ax)) dx

Answer 1

[(xe^(ax))/a] - (e^(ax))/(a^2)]

Question 2

§ x^n dx

Answer 2

(x^(n+1))/(n+1)

Question 3

§ a^x dx

Answer 3

(a^x)/(ln a)

Question 4

§ ( 0 to infinity) e^(-at) dt

Answer 4

1/a if a>0

Question 5

§ (0 to infinity) x^(n) e^(-cx) dx

Answer 5

(n!)/ c^(n+1)