Integration questions | form five Pure Advanced Mathematics

Find Integration examination questions, form five Pure Advanced Mathematics in acaproso.com

#	Question
1	Integrate the following with respect to x $intleft [ {frac{sin x+ cosx}{cosx -sinx}} ight ]dx$ $int{frac{dx}{2x^{2}+x-3}}dx$ Mathematical Calculation
2	Find $int {xe^{2pi}}dx$ $int_{0}^{frac{1}{2}}{frac{x^2}{sqrt{1-x^2}}}dx$ Mathematical Calculation
3	Evaluate the following integral correct to three significant figures $int_{1}^{2}{frac{1}{sqrt{x^2+4x+8}}}dx$ Mathematical Calculation
4	Integrate the following with respect to x $f(x)=frac{5x+7}{x^2+4x+8}dx$ Mathematical Calculation
5	If $I_{n}=int sec ^{n}x dx$ , obtain a reduction formula for $I_{n}$ in terms of $I_{n-2}$ and use it to integrate $int sec^{5} x dx$ . Mathematical Calculation
6	Find the length of the arc given by $x=a(cos heta + heta sin heta )$ and $y=a(sin heta - heta cos heta )$ between $heta=0$ and $heta=2pi$ . Mathematical Calculation
7	Find $int frac{x-2}{(x^{2}+2)(x+1)}dx$ Mathematical Calculation
8	Evaluate $int_{0}^{frac{5}{3}pi} frac{ an x+sin x}{cos x}dx$ Mathematical Calculation
9	If A nad B are any two points on the graph of $y=f(x)$ , derive the arc length formula for the curve AB from x=a to x=b. Find the lenght of a curve $y=frac{3}{4}x$ from x=0 to x=4. Mathematical Calculation
10	By using the integration by parts technique, evaluate the integral $int_{0}^{1}xsin2x,dx$ correct to 7 decimal places. Mathematical Calculation