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- Unit 02: Differentiation
- rtant questions. <list-group> * Differentiate $\frac{(x^2+1)^2}{x^2-1}$ $w.r.t.x$. --- // BSIC Gujranwala (2016)// * If $x=at^2$, $y=2at$. Find $\frac{dy}{dx}$ --- // BSIC Gujranwala (2016)// * Differentiate $x^2-\frac{1}{x^2}$ $w.r.t.x^2$. --- // BSIC Gujranwala (2016)// * Prove that $\frac{d}{dx}(tan^{-1}x)=\frac{1}{1+x^2}$ --- // BSIC G
- Unit 03: Integration
- rtant 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)// ... // BSIC Gujranwala (2016)// * Calculate $\int^{\frac{\pi}{4}}_0 \sec x(\sec x+\tan x)dx$--- // BSIC Gu
- Unit 01: Functions and Limits
- t-group> * Evaluate $\lim\limits_{\theta \to 0}\frac{1-\cos \theta}{\sin^3\theta}$ --- // FBSIC (2016... BSIC (2016)// * Evaluate $\lim\limits_{x \to 2}\frac{\sqrt{x}-\sqrt{2}}{x-2}$ --- // BSIC Rawalpendi(2... (2017)// * Evaluate $\lim\limits_{\theta \to 0}\frac{\tan \theta-\sin \theta}{\sin^3\theta}$ --- // BS... ala (2017)// * Evaluate $\lim\limits_{x \to -1}\frac{x^3-1}{x+1}$ --- // BSIC Gujrawala (2017)// * P
- Unit 06: Conic section
- ellipse with vertices $(0,\pm5)$, eccentricity $\frac{3}{5}$ --- // BSIC Gujranwala (2016)// * Prove... e foci, eccentricity and vertices of an ellipse $\frac{(2x-1)^2}{16}+\frac{(y+2)^2}{16}=1$ --- // FBSIC (2017)// * Find the equations of tangents to the con... Find centre, foci and vertices of the hyperbola $\frac{(x-1)^2}{2}-\frac{(y-1)^2}{9}=1$ --- // BSIC Rawa
- Unit 04: Introduction to Analytic Geometry
- 6)$ and perpendicular to the line having slope $-\frac{3}{2}$. --- // FBSIC (2016)// * Prove that the ... // * Find the angle from the line with slope $-\frac{7}{3}$ to the line with slope $\frac{5}{2}$ --- // BSIC Sargodha(2016)// * Find $h$ such that the poi... 5,-8)$ and perpendicular to the line with slope $\frac{3}{5}$.--- // BSIC Sargodha(2017)// * Find the
- Unit 05: Linear Inequalities and Linear Programming
- Find the area bounded $\cos x$ function from $x=-\frac{\pi}{2}$ to $x=\frac{\pi}{2}$.--- // BSIC Rawalpindi (2017)// * Graph the solution set of the linear