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Always ZERO
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CBSE 2000 Hindustan: integral (1+tan(x))/(x+log(sec(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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AI 2008 Hindustan 2nd/2 ways: Evaluate trig integral ∫2cos(x)/(3 sin^3(x)) dx
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2nd way: derivative (x^x)^x
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logic Idempotent law show x=xVx
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2nd/3ways: trig integral ∫sec(x) dx
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There are 2 lines. One line has 3 points & the other line has 6 points.
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When a die was thrown the scores was an odd #. What is the prob. that it was a prime #?
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2nd/2 ways: #1 2019 MIT Integration Bee Final
trig integral sin(x+sin(x))-sin(x-sin(x)) dx
prob stat The prob of events A & B are P(A) & P(B) respectively P(A)=5/12, P(A n B)=1/6, P(AuB)=q.
2nd way: ∫cos(x)/√(sin^2(x)+4sin(x)+3) dx
2nd way: derivative y^2=4a(x+a sin(x/a))
Screen Recording 2024-05-05 at 11.26.15 PM
2nd way: integral ∫x^k ln(x) dx = x^(k+1)/(k+1) ln(x) - x^(k+1)/(k+1)^2 + C where C ≠ -1
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2nd way: trig integral ∫1/(1+sin^2(x))cos^2(x))
exp Calculate ∫x^3 3^x dx via IBP
UC Davis: integrate sin(x)/(1+sin(x)) dx
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