List of practice Questions

Integrate the function: \(\sqrt{1+3x-x^2}\)

What measures as an individual you would take to reduce environmental pollution?

Integrate the function: \(\sqrt{x^2+4x-5}\)

Among the ecosystem services are control of floods and soil erosion.How is this achieved by the biotic components of the ecosystem?

Integrate the function: \(\sqrt{1-4x-x^2}\)

What are sacred groves? What is their role in conservation?

Integrate the function: \(\sqrt{x^2+4x+1}\)

Integrate the function: \(\sqrt{x^2+4x+6}\)

How is biodiversity important for ecosystem functioning?

Integrate the function: \(\sqrt {1-4x^2}\)

What are the major causes of species losses in a geographical region?

Integrate the function: \(\sqrt{4-x^2}\)

What is the significance of the slope of regression in a species - area relationship?

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

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: \(x(logx)^2\)