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2nd/2parts: Linear interpolation (2 given points)
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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx
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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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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) dx
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1st way: exp ∫(e^x)/x (1+x log(x)) dx
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2nd way: integral ∫ log √x(x^n) dx
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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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4 ways: Evaluate Σ(2k+1) k=1,20
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2 ways: Find a formula for d/dx[f^m(x) g^n(x)], where f & g are differentiable functions ...
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3rd/3ways: derivative (x+1)^(1/2) (x+2)^(1/3) (x+3)^(1/4) (x+4)^(1/5) (x+5)^(1/6)
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integral ∫√(x-a)/x dx
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Review: trig tan(x+360)= tan(x) & tan(x+180)=tan(x)
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Florida International U: Find derivatives ...defined implicitly ... (a)-(c)
2nd/3ways: derivative If f(x)=(x-a)(x-b)(x-c), show f'(x)/f(x)=1/(x-1)+1/(x-b)+1/(x-c)
Georgia Tech MA155: Evaluate each indefinite integral:
Alternate way: Evaluate exp integral ∫1/√(1-e^(2x)) dx
trig integral ∫sec(x) dx =