====== Unit 03: Integration ======
Here is the list of important questions.
<list-group>
  * Evaluate $\int \frac{1}{\sqrt{x}(\sqrt{x}+1)}dx$  --- // BSIC Gujranwala (2016)//
  * Find $\int \frac{1}{1+ cosx}dx$  --- // BSIC Gujranwala (2016)//
  * Evaluate $\int \frac{1}{x \ln x}dx$  --- // BSIC Gujranwala (2016)//
  * Find $\int x \ln x dx$  --- // BSIC Gujranwala (2016)//
  * Evaluate $\int e^{2x}(-sinx+2cosx)dx$  --- // BSIC Gujranwala (2016)//
  * Compute $\int^2_1(x^2+1)dx$--- // BSIC Gujranwala (2016)//
  * Calculate $\int^{\frac{\pi}{4}}_0 \sec x(\sec x+\tan x)dx$--- // BSIC Gujranwala (2016)//
  * Solve the differential equation $\sin y cosec x \frac{dy}{dx}=1$ --- // BSIC Gujranwala (2016)//
  * Evaluate $\int \sqrt{4-5x^2}dx$ --- // BSIC Gujranwala (2016)//
  * Evaluate $\int ^3_{-1}(x^3+3x^2)dx$  --- // BSIC Gujranwala (2016)//
  * Evaluate $\int (a-2x)^{\frac{3}{2}}dx$  --- // BSIC Gujranwala (2015)//
  * Evaluate $\int \sqrt{1+\sin x}dx$  --- // BSIC Gujranwala (2015)//
  * Evaluate $\int \frac{1}{a^2-X^2}dx$  --- // BSIC Gujranwala (2015)//
  * Evaluate $\int \frac{e^{mtan^{-1}x}}{1+x^2}dx$  --- // BSIC Gujranwala (2015)//
  * Find $\int x e^xdx$  --- // BSIC Gujranwala (2015)//
  * Find area between $x-axis$ and the curve $y=\sin 2x$ from $x=0$ to $x=\frac{\pi}{3}$ --- // BSIC Gujranwala (2015)//
  * Solve $\frac{dy}{dx}+\frac{2xy}{2y+1}=x$ --- // BSIC Gujranwala (2015)//
  * Evaluate $\int ^2_{-1}\ln xdx$ --- // BSIC Gujranwala (2015)//
  * Solve $\frac{dy}{dx}=\frac{y^2+1}{e^{-x}}$ --- // BSIC Gujranwala (2015)//
  * Evaluate $\int ^{\frac{\pi}{4}}_{0}\frac{\sec \theta}{\sin \theta +\cos \theta}d\theta$ --- // BSIC Gujranwala (2015)//
  * Evaluate $\int ^{\frac{\pi}{4}}_{0}\cos ^4tdt$ --- // BSIC Gujranwala (2015), FBSIC(2017)//
  * Show that  $\int \sqrt{a^2-x^2}dx=\frac{a^2}{2}\sin ^{-1}\frac{x}{a}+\frac{x}{2}\sqrt{a^2-x^2}+c$ --- // BSIC Gujranwala (2015)//
  * Evaluate $\int \frac{x^3-6x^2+25}{(x+1)^2(x-2)^2}dx$ --- // FBSIC (2017)//
  * Evaluate $\int x (\sqrt{x}+1)dx$, (x>0)  --- // FBSIC (2016)//
  * Evaluate $\int ^{0}_{-2}\frac{1}{(2x-1)^2}dx$--- // FBSIC (2016)//
  * Solve the differential equation $(x^2-yx^2)\frac{dy}{dx}+y^2+xy^2=0$. --- // FBSIC (2016)//
  * Evaluate $\int \frac{e^{2x}+e^x}{e^x}dx$  --- // BSIC Rawalpindi(2017)//
  * Evaluate $\int \cos 3x \sin 2xdx$  --- // BSIC Rawalpindi(2017)//
  * Evaluate $\int \frac{x+b}{(x^2+2bx+c)^{\frac{1}{2}}}dx$  --- // BSIC Rawalpindi(2017)//
  * Evaluate $\int e^x(\cos x-\sin x)dx$  --- // BSIC Rawalpindi(2017)//
  * Evaluate $\int ^{3}_{2}\frac{1}{(x^2+9)^2}dx$  --- // BSIC Rawalpindi(2017)//
  * Evaluate $\int ^{\sqrt{5}}_{2}x\sqrt{x^2-1}dx$  --- // BSIC Rawalpindi(2017)//
  * What is the linear programming? --- // BSIC Rawalpindi(2017)//
  * Solve the differential equation $\frac{1}{x}\frac{dy}{dx}=\frac{1+y^2}{2}$--- // BSIC Rawalpindi(2017)//
  * Using differentials to find the value of $^4\sqrt{17}$--- // BSIC Rawalpindi(2017)//
  * Evaluate $\int \frac{\sqrt{2}}{\sin x+\cos x}dx$  --- // BSIC Rawalpindi(2017)//
  * Evaluate $\int x \sqrt{x^2-1}dx$  --- // BSIC Sargodha(2016)//
  * Evaluate $\int (2x+3)^\frac{1}{2}dx$  --- // BSIC Sargodha(2016)//
  * Evaluate $\int (\ln x)\frac{1}{x}dx$  --- // BSIC Sargodha(2016)//
  * Evaluate $\int \frac{\cot \sqrt{x}}{\sqrt{x}}dx$  --- // BSIC Sargodha(2016)//
  * Evaluate $\int \frac{x^2}{4+x^2}dx$  --- // BSIC Sargodha(2016)//
  * Evaluate $\int tan^{-1}x dx$  --- // BSIC Sargodha(2016)//
  * Evaluate $\int ^{2}_{1}\frac{x}{(x^2+1)}dx$--- // BSIC Sargodha(2016)//
  * Find the area between the $x-axis$ and the curve $y=x^2+1$, from $x=1$, to $x=2$--- // BSIC Sargodha(2016)//
  * Solve the differential equation $y dx+x dy=0$ --- // BSIC Sargodha(2016)//
  * Show that $y=cx-1$, is the solution of the differential equation $x \frac{dy}{dx}=1+y$--- // BSIC Sargodha(2016)//
  * Evaluate $\int \frac{7x-1}{(x-1)^2(x+1)}dx$  --- // BSIC Sargodha(2016)//
  * Evaluate $\int ^{\frac{\pi}{4}}_{0}\frac{\sin x-1}{(\cos ^2x)}dx$ --- // BSIC Sargodha(2016)//
  * Evaluate $\int x \sqrt{x^2-1}dx$ --- // BSIC Sargodha(2017)//
  * Evaluate $\int \frac{(\sqrt{\theta}-1)^2}{\sqrt{\theta}}d\theta$ --- // BSIC Sargodha(2017)//
  * Evaluate $\int \frac{a}{2\sqrt{at+b}}dt$ --- // BSIC Sargodha(2017)//
  * Evaluate $\int \tan^2 xdx$ --- // BSIC Sargodha(2017)//
  * Evaluate $\int x \ln xdx$ --- // BSIC Sargodha(2017)//
  * Evaluate $\int \frac{3x+1}{x^2-x-6}dx$ --- // BSIC Sargodha(2017)//
  * Evaluate $\int ^{\frac{\pi}{4}}_{0}\sec x(\sec x+ \tan x)dx$--- // BSIC Sargodha(2017)//
  * Evaluate $\int ^{2}_{-6}\sqrt{3-x}dx$--- // BSIC Sargodha(2017)//
  * Solve $\frac{dy}{dx}=\frac{y^2+1}{e^{-x}}$--- // BSIC Sargodha(2017)//
  * Evaluate $\int ^{\frac{\pi}{4}}_{0}\frac{1}{1-\sin x}dx$--- // BSIC Sargodha(2017)//
  * Evaluate $\int \frac{x \sin^{-1} x}{\sqrt{1-x^2}}dx$ --- // BSIC Sargodha(2017)//
  * Solve the differential equation $(y-x\frac{dy}{dx})=2(y^2+\frac{dy}{dx})$--- // BSIC Sargodha(2017)//





</list-group>
{{tag>FSc FSc_Part2 Important_Questions_FSc_2}}