Math 12 Chapter 3
Integration
Test - 8


Math Class 12
1. If f(x) is even function then -aa (fx)dx = 20a f(x) dx.


2. ∫[f(x)]n f'(x) dx = [f(x)]n+1/n+1+C where n is any integer.


3. Area under the curve is always taken positive.


4. d(eax) = aeax


5. The arbitary constants involved in the solution of differential equation can be determined by initial values conditions.


6. ∫ sec x dx = ln ��sec x - tan x�� + C


7. ∫ akx dx = akx / lna + c (a > 1)


8. Volume of cube with length of a side x is x3.


9. The degree of differential equation xd2y/dx2 + (dy/dx)3 + 1 = 0 is 2.


10. The integral of product of two functions is the product of their integrals.


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