List of practice Questions

\(\int (\sin 3x + 4 \sin^3 x) \, dx \)

\(\frac{d}{dx} \left[ 2\sqrt{x} \right] \)

\(\frac{d}{dx} \left[ (1 - \cos 2x) + 2\cos^2 x \right] \)

\(\frac{d}{dx} \left[ \log x^2 + \log a^2 \right] \)

\(\frac{d}{dx} \left[ 2 \tan^{-1} x \right] \)

\(\frac{d}{dx} \left[ e^{x^2} \right] \)

\(\int \frac{dx}{x^2 + 4} \)

\(\frac{d}{dx} \left( e^{2x} + 2e^x \right)\)

\(\frac{d}{dx} \left[ \lim_{x \to a} \frac{x^n + a^n}{x + a} \right] \)

\(\frac{d}{dx} \left( \sin^{-1} 2x \right)\)

\(\frac{d}{dx} \left[ (x+2)(x^2 - 2x + 4) \right] \)

\(\frac{d}{dx} \left(\sec^2 x - \tan^2 x\right)\)

Change the present simple sentence “He writes a letter” into past simple sentence.

Write a note on the environmental importance of forests.

Suggest measures to reduce the incidence of flood.

What are the factors responsible for drought ?

What are the alternative communication mediums used during natural disaster?

Which areas are more affected by earthquake and tsunami ?

Who among the following was the German Chancellor ?

By which strait is India separated from Sri Lanka ?

What is meant by density of population ?

Discuss the role of infrastructure in the economic development of the country.

Define plantation agriculture with an example.

What do you understand by dual governance system ?

What is meant by horizontal distribution of power ?