### Home > CALC > Chapter 8 > Lesson 8.2.1 > Problem8-68

8-68.

Before integrating, rewrite the integrand using a fractional exponent.

Think about the shape of this graph, does it have any symmetry?

Let U = x2 + 1.

Because y = x2 + 1 is always positive, this solution will not need an absolute value sign.

Before integrating, use properties of logarithms to rewrite the integrand.

$=\int2xdx=x^2+C$