Screen Recording 2024-05-18 at 11.10.22 PM

2 ways: exp log integral ∫3^(log81(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

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1st way: exp ∫(e^x)/x (1+x log(x)) dx

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MP 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(x)) dx

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Evaluate these 9 integrals containing ...

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2 ways: trig integral ∫tan^3(x) sec^2(x) dx

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3 ways: exp integral ∫ln(e^x) + ln(e^(-x)) dx

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JEE Main integral ∫x^5 /√(1+x^3) dx

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Suppose z is differentiable funtion of x & y that is defined implicitly x^2+y^3-z+2yz^2=5

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trig integral ∫x sec^5(x^2) tan(x^2) dx

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prob stat: A family has 2 children. What is the conditional prob that both are boys ...

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#2 2024 2nd/2 ways: MIT Integration Bee Qualifying Exam

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Lamar U 2nd way: evaluate trig log sq rt integral ∫sin(1+ln(2x))-√(1+ln(2x))/x dx

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2nd way: sq rt integral ∫ √√e^x dx

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logic implication distribute across disjunction: Show x→(y∨z) ≡ (x→y) ∨ (x→z)

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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 derivative tan(arc tan(x))

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2nd way: trig integral ∫(sec(x) tan(x))/(sec^2(x)-sec(x)) dx

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