Question

Asked Apr 10, 2019

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Use properties of the indefinite integral to express the following integral in terms of the simplest integrals:

∫(5x^{2} −5x)dx

Step 1

The given integral is ∫(5*x*^2–5*x*) *dx*.

It is known that, if *f* and *g* are integrable functions, then

i) ∫*a* *f *(*x*)*dx* = *a*∫ *f *(*x*)*dx*.

ii) ∫ (*f* (*x*) – g(*x*)) *dx *= ∫*f* (*x*)*dx *–∫*g*(*x*)* dx*.

Step 2

Use the above mentioned properties of the indefinite integral and express the given integral in terms of the simplest integral as fo...

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