106k views
13 votes
Solve the Antiderivative.​

Solve the Antiderivative.​-example-1
User SergeS
by
4.8k points

1 Answer

8 votes
1
∫ -------------------- dx
x² + 6x + 10


1
∫ -------------------- dx
(x+3)² + 1

Let t = x + 3
dt = dx

1
∫ -------------------- dt
t²+1

1/1 arctan(t/1)

1/1 arctan (x+3 / 1)


=arctan(x+3) + C
User David Bentley
by
5.6k points