1.2.17 Partial fractions (A-level only)

a.

Express $3x+5(x−2)2\frac{3x + 5}{(x - 2)^2}$ in the form $Ax−2+B(x−2)2\frac{A}{x - 2} + \frac{B}{(x - 2)^2}$ .

[2]

b.

Show that

\int_{3}^{5} \frac{3x + 5}{(x - 2)^2} \, dx = p + \ln q

where $p$ and $q$ are rational numbers.

[5]

a.

Express $3x+5(x−2)2\frac{3x + 5}{(x - 2)^2}$ in the form $Ax−2+B(x−2)2\frac{A}{x - 2} + \frac{B}{(x - 2)^2}$ .

[2]

b.

Show that

\int_{3}^{5} \frac{3x + 5}{(x - 2)^2} \, dx = p + \ln q

where $p$ and $q$ are rational numbers.

[5]

1.2.17 Partial fractions (A-level only) Questions