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UC Davis #16: Prove (fgh)'=f'gh+fg'h+fgh' [differentiation using the product rule]
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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx
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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx
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CBSE 2000 Hindustan: integral (1+tan(x))/(x+log(sec(x)) dx
2nd way: integral ∫ log √x(x^n) dx
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1st way: exp ∫(e^x)/x (1+x log(x)) dx
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integral sin(x)/(1+sin(x)) dx
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sum picture proof show 1^2+2^2+3^2+...+n^n=1/3 1/2n(1+n) (2n+1)
2nd way: trig integral ∫sin(x/a) dx
U of Arizona: For each integral decide which of the following is needed ....
logic: Simplify the Boolean function F=XYZ+XY'Z+XYZ'
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Differentiate the function y= x^3 (1+x)^2 /((1-x)^4 (1+2x)^2)
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Simplify the Boolean function F=A+A'B
#1 2021 MIT Bee Qualifier: trig integral sin(x) cos(x) tan(x) sec(x) csc(x) cot(x) dx
sum Find 1/1.4 + 1/4.7 +1/7.10+... +1/((3n-2)(3n+1))
1) integral ∫x/(1+x) dx vs 2) integral ∫sin(x) cos(x)/(1+ sin(x)) dx
2nd/3 ways: How many chords can be drawn through 21 points on a circle?
logic: Simplify the Boolean function F=AB+BC+B'C
log sq rt integral ∫√x ln(x) dx withOUT u-sub
The sum of 3 numbers in AP is 15 & the sum of their squares is 3. Find the numbers.