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UC Davis #1 integral 1/(1+√x) dx via power sub.
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MPPET 1996 Hindustan: trig integral ∫ sin^2(x) -cos^2(x)/(sin^2(x) cos^2(x)) 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
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MP 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(x)) dx
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Alternate way: Find 1+2+3+... +(n-1)+n via "polynomial degree 2"
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integral ∫ x dx withOUT using Power rule.
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trig Write each expression as an equivalent algebraic expression involving only x.
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3 ways: Find the first 3 terms of Maclaurin series for sin^2(x)
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UC Davis: #9 exp integral ∫x 3^(x^2+1) dx
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Diff Eq: Solve sec(x) dy/dx=y+sin(x) via Integrating factor [IF]
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#3 UC Davis integrate ∫3/(4+x^(1/3)) dx via power sub
Alternate way: log integral ∫1/(x+xln(2x))
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trig integral ∫sin^5(x) dx
2 ways: trig integral ∫sin(√x) dx
Columbia U: 9th/9 ways Evaluate the indefinite integral ∫1/(1+e^x) dx withOUt u-sub
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