List of practice Questions

Examine the figure of pectoral girdle and forelimb and identify the parts labelled as $A$, $B$, $C$ and $D$.

Evaluate : $\int\frac{sin x}{sin 4x} dx$

Evaluate of the following limits. $=\displaystyle \lim_{x \to 2}$$\left\{\frac{\left(x^{2}-4\right)}{\sqrt{3x-2}-\sqrt{x+2}} \right\}=$

Evaluate: $\int\limits_{\frac{\pi}{4}}^{\frac{\pi}{2}} cos\,2x \,dx $

Evaluate: $\int\frac{sin \,2x}{sin\left(x -\frac{\pi}{3}\right) sin\left(x+\frac{\pi}{3}\right)} dx $

Evaluate: $\int\limits_{0}^{\frac{\pi}{4 }} \sqrt{1-sin\, 2x} \,\,\, dx $

Evaluate : $ \int\limits_{0}^{\pi/2}\frac{ cos \,x}{\left(cos \frac{x}{2} +sin \frac{x}{2}\right)^{3}} dx$

Evaluate: $\int\left\{\left(2x-3\right)^{5}+\frac{1}{\left(7x-5\right)^{3}}+\frac{1}{\sqrt{5x-4}}+\frac{1}{2-3x}+\sqrt{3x+2}\right\}dx$

Evaluate : $\int\left(e^{x\,log\,a} + e^{a\,log\,x} + e^{a\,log\,a} \right)dx$

Evaluate:$\int\limits_{0}^{2\pi} sin\left(\frac{\pi}{4}+\frac{x}{2}\right)dx $

Evaluate $2\,cos\,22 \frac{1^{\circ}}{2}\cdot cos\,67 \frac{1^{\circ}}{2}$.

Evaluate $(i) 5! (ii) 7!$

Evaluate : $\int\frac{1}{sin \,x +\sqrt{3} \,cos\, x} dx$

Ethylene is used for

Eubacteria can be differentiated from archaebacteria on the basis of

Ethylene can be prepared by the electrolysis of aqueous solution of :

Ethylene dichloride and ethylidene chloride are isomeric compounds. The false statement about these isomers is that they

Ethyl alcohol on,oxidation with $K_2Cr2O_7$ gives

Ethylbenzene with $Br_2$ in the presence of $FeBr_3$ gives

Ethyl alcohol fermentation occurs in

Ethyl alcohol is obtained when ethyl chloride is boiled with

Ethers are isomeric with

Ethers have lower boiling points than their corresponding isomeric alcohols because of

Ethyl alcohol and dimethyl ether are functional isomers. The boiling point of ethyl alcohol is higherdue to the presence of :

Ethanol is soluble in water due to