List of practice Questions

How do ecologists estimate the total number of species present in the world?

Integrate the function: \(\frac{(x-3)e^x}{(x-1)^3}\)

Integrate the function: \(e^x(\frac{1}{x}-\frac{1}{x^2})\)

Name the three important components of biodiversity.

Integrate the function: \(e^x(\frac{1+sinx}{1+cosx})\)

Write important features of a sedimentary cycle in an ecosystem.

Integrate the function: \(\frac{xe^x}{(1+x)^2}\)

Give an account of energy flow in an ecosystem.

Integrate the function: \(e^x(sinx+cosx)\)

Integrate the function: \((x^2+1)logx\)

Integrate the function: \(x(logx)^2\)

Integrate the function: \(xsec^2x\)

Define decomposition and describe the processes and products of decomposition.

What is primary productivity? Give brief description of factors that affect primary productivity.

Integrate the function: \(\frac{xcos^{-1}x}{\sqrt{1-x^2}}\)

Describe the components of an ecosystem.

Integrate the function: \((sin^{-1}x)^2\)

Integrate the function: \(xcos^{-1} x\)

Integrate the function: \(xtan^{-1}x\)

Integrate the function: \(xsin^{-1}x\)

Integrate the function: \(x^2 log\ x\)

Integrate the function: \(x log \ 2x\)

Integrate the function: x logx

Integrate the function: \(x^2e^x\)

Integrate the function: \(xsin\  3x\)