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Q.1. If
Ans. 2
Q.2. The value of is ([.] denote the greatest integer function)
Ans. 2
Q.3. If then evaluate
Ans. 4
Applying C_{1}→ C_{1}  C_{3} and C_{2}→ C_{2}  C_{3}/ we get
= 16sin^{3}x cos^{2}x  24 sin^{2}x cos^{2}x  12 sinx cos^{2}x  2 cos^{2}x
Q.4. If the area bounded by y = f^{1} (x) , xaxis between, x = 1/2 to x = 1/2 is A  In 2, then find A .
Ans. 1
Required area
Let f^{1} (x)= t
Q.5. Let y = g(x) be the image of f(x) = x + sinx a bout the line x + y = 0. If the a rea bounded by y = g(x), xaxis, x = 0 and x = 2 tt is A, then A/π^{2} is ___________
Ans. 2
f(x) is an odd function
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