1) integral ∫ 1/(1+x^2) dx 2) integral ∫ e^x/(1+e^(2x)) dx 3) integral ∫ cos(x)/(1+sin^2(x)) dx

integral ∫(8x+12) (x^2+3x+1)^4 dx vs integral ∫(8x+12)/(x^2+3x+1)^4

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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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1st way: exp ∫(e^x)/x (1+x log(x)) dx

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CMU integral ∫1/(x^2 √(16x^2 -19)) 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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Differentiate the function y= x^3 (1+x)^2 /((1-x)^4 (1+2x)^2)

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UC Davis #1: 2 ways Find the length of the graph for y=3x+2 on the closed interval ...

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UC Davis #1 integral 1/(1+√x) dx via power sub.

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UC Davis #16: Prove (fgh)'=f'gh+fg'h+fgh' [differentiation using the product rule]

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UC Davis p#12: 2nd way differentiate y=x^(x^(x^4)))

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2nd way: integral ∫1/(√(px-q) - √(px+r)) dx

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2nd way: integral ∫x^2 √(x^3+1) dx vs ∫x^3 √(x^3+1) dx

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2nd way: trig integral (3-tan^2(x))/(cot(x)-3tan(x)) dx

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2024 #3 MIT Integration Bee Final Lightning Round

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2nd way: trig integral (sin(x)-cos(x))^2 dx

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Show integral 1/(x(x^2+a^2)) dx = 1/(2a^2) ln(x^2/(x^2+a^2))

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UC Davis: #11 exp trig ∫cos(5x)/e^sin(5x) dx

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2nd way: exp integral ∫e^(a√x)/√x dx

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integral ∫(2-x)/(1-x) dx

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