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sum Find 1/1.4 + 1/4.7 +1/7.10+... +1/((3n-2)(3n+1))
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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx
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1st way: exp ∫(e^x)/x (1+x log(x)) dx
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2 ways: sq root derivative 1/(√√(1/√x))
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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx
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prob stat 2/2 ways: A couple has 6 children whose ages are 6,8,10,12,14,16.
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prob stat Toss a pair of fair 6-sided dice. The sample space has 36 outcomes.
UT Austin: sq root integral ∫1/((√x) (1+ √x))dx
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prob stat: A die with 4 red faces & 2 green faces is rolled twice.
1st/2 ways: trig integral sin(x)/x + cos(x)/x^2 dx
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UT Austin: trig integral ∫csc((x-π)/2) cot((x-π)/2) dx
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Does AI really stutter? Could it be that OpenAI has a human operator on standby behind the scenes?
1st/2 ways: Find dy/dx of sin(x) + cos(y) =e^x
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Unbelievable! China’s entertainment industry’s first AI idol, AI208, has officially debuted! Zhao Ji
New York Senator Opposing Gaza Ceasefire Speech Interrupted by Citizens (with Commentary)
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How long can you survive if you accidentally lose these organs?