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UC Davis #16: Prove (fgh)'=f'gh+fg'h+fgh' [differentiation using the product rule]
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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx
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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx
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2nd way: integral ∫ log √x(x^n) dx
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CBSE 2000 Hindustan: integral (1+tan(x))/(x+log(sec(x)) dx
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)
1) integral ∫x/(1+x) dx vs 2) integral ∫sin(x) cos(x)/(1+ sin(x)) dx
JEE Main integral ∫x^5 /√(1+x^3) dx
example Find 1+2+3+...+n via Pick's Theorem
UC Davis #1 2nd way: integral ∫1/(x^2-4) dx [integration by partial fraction]
integral ∫(8x+12) (x^2+3x+1)^4 dx vs integral ∫(8x+12)/(x^2+3x+1)^4
Differentiate the function y= x^3 (1+x)^2 /((1-x)^4 (1+2x)^2)
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sum Find 1/1.4 + 1/4.7 +1/7.10+... +1/((3n-2)(3n+1))
Simplify the Boolean function F=A+A'B
prob stat: A family has 2 children. What is the conditional prob that both are boys ...
prob stat: Compute Var(X) when X represents the outcome when we roll a fair die.
What is the median for the sample presented in the following freq. distribution table?
log sq rt integral ∫√x ln(x) dx withOUT u-sub