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UC Davis #11: count prove Σi^2 = n(n+1)(2n+1)/6 where i=1 to n
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AI 2008 Hindustan 2nd/2 ways: Evaluate trig integral ∫2cos(x)/(3 sin^3(x)) dx
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logic Idempotent law show x=xVx
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MP 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(x)) dx
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2nd/3ways: trig integral ∫sec(x) dx
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sum Find 1/1.4 + 1/4.7 +1/7.10+... +1/((3n-2)(3n+1))
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IIT-1995 2nd way integral ∫x^5/(1+x^3) dx
UC Davis #16: Prove (fgh)'=f'gh+fg'h+fgh' [differentiation using the product rule]
exp Calculate ∫x^3 3^x dx via IBP
sum picture proof show 1^2+2^2+3^2+...+n^n=1/3 1/2n(1+n) (2n+1)
NYU: 3 ways ∫(1+ln(x))/x dx
prob stat: 2 ways Joe's mean mark for the physics tests for the term was 72.
The number of solutions of the equation x^(log10(x)) = 100x
Screen Recording 2024-05-19 at 9.56.54 PM
2nd way: trig integral ∫1/(1+sec(x)) dx
2nd way: trig inverse ∫(2012)^x (2012)^ arc (sin(2012)^x)√(1-(2012)^2x) dx
Screen Recording 2024-05-12 at 8.34.35 PM
Find the number of permutations of the letters of the word ALLAHABAD
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Practice STPM Sem3 Math T: The prob distribution of a RV is given by ...
West Virginia U: exp integral ∫3^x (2^x)^3/((6^x 4^(2x)) dx