MathDB

Today's calculation of integral 102

Source: Toyama Medical and Pharmaceutical University entrance exam 1986

June 5, 2006

calculusintegrationlogarithmscalculus computations

Problem Statement

Let

a,b

be costant numbers such that

a^2\geq b.

Find the following indefinite integrals. (1)

I=\int \frac{dx}{x^2+2ax+b}

(2)

J=\int \frac{dx}{(x^2+2ax+b)^2}