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sum Find 1/1.4 + 1/4.7 +1/7.10+... +1/((3n-2)(3n+1))
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MPPET 1996 Hindustan: trig integral ∫ sin^2(x) -cos^2(x)/(sin^2(x) cos^2(x)) dx
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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx
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Review: Arithmetic Series a+(a+d)+(a+2d)+...+(a+(n-1)d)=
UC Davis #11: count prove Σi^2 = n(n+1)(2n+1)/6 where i=1 to n
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2nd way: integral ∫(6+4x--2x^2) dx via 1) complete sq 2) then trig. sub
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MPPET 1993 BIT Ranchi 1982 Hindusta: trig integral ∫ (1+cos^2(x)/sin^2(x) dx
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Find the expected value & the std deviation in the number of '6's when 20 dice are rolled.
UC Davis #16: Prove (fgh)'=f'gh+fg'h+fgh' [differentiation using the product rule]
Sum of the first n integers 1+2+3+ ...+n=n/2 (1+n) via Induction
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NUS MA1102R: Find ALL second-order partial derivatives of f(x,y) = x^2 y -y^3 + ln(x)
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trig integral ∫tan^n(x) dx where n is EVEN via Reduction formula
matrix example: How to select the ROW you want ...
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