Find the expected value & the std deviation in the number of '6's when 20 dice are rolled.

2nd way: 1) ∫1/(a + √b x^2) dx vs 2) ∫1/(a + √b x^2) dx

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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx

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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx

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1st way: exp ∫(e^x)/x (1+x log(x)) dx

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2nd/3ways: trig integral ∫sec(x) dx

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integral ∫ x dx withOUT using Power rule.

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2nd way: integral ∫x/(2ax-x^2) dx

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Purdue U: Evaluate ∫sec^5/2(x) tan(x) dx where x= 0 to pi/3

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NYU: 2 ways compute log integral ∫ln(x) dx

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Rutgers U: Verify using calculus

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Rutgers U: compute log integral ∫x^2 (ln(x))^2 dx

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#12 UC Davis: Find the length of the graph for x=ln(y)=y^2/8 on the closed interval ...

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2nd way: exp integral e^3x/(e^x +2) dx withOUT u-sub

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Purdue U: trig integral ∫tan^3(x) sec^2(x) dx =? where x=0 to pi/4

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2010 Raytheon MATHCOUNTS National Competition

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UC Davis: #10 log integral ∫3/(x ln(x)) dx.

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MIT Integration Bee Quali Exam 2023 #7: integral

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3rd/3ways: trig integral ∫sec(x) dx

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RPReplay_Final1791960079

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RPReplay_Final1791957408

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