Find the integral. \( \int(1-6 x) e^{3 x-9 x^{2}} d x \)

3.3. \( \int \frac{x-1}{\left(x^{2}+1\right)(x+1)} d x \)

احسب التكامل لـ \( \frac{4x^3 - 7x + 5}{2x + 1} dx \) من خلال تطبيق طريقة القسمة الطويلة.

Find the derivative of \( f(w)=\frac{3}{\left(w^{2}-6\right)^{5}} \)

Residues at Poles - Example 1 The function \( \quad f(z)=\frac{z+1}{z^{2}+9} \) has an isolated singular point at \( \mathrm{z}=3 \mathrm{i} \) and can be written

June 2018 ZIMSEC Paper 1 Solve the equations: \( e^{2 x}=4 e^{2-x} \) giving the answer in exact form. November 2010 ZIMSEC Paper 1