#8 Lamar U: evaluate integral sec^8(t/2) tan^5(t/2) dt

Lamar U: Assume that x=x(t) & y=y(t) & differentiate the following equation wrt t

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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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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) dx

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2nd/3ways: trig integral ∫sec(x) dx

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prob stat: X & Y are 2 events s.t P(x|y)=0.4, P(y)=0.25 & P(x)=0.2.

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Giant cute girl, two-dimensional ecstasy!

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5 ways: trig Derivative of sin^2(x)

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2 ways: Find logarithm of 5 to the base 5 √5.

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derivative If y=e^(a arc sin(x)), prove that (1-x^2)y2 - xy1 = a^2y.

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Screen Recording 2024-02-22 at 10.13.28 PM

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Screen Recording 2023-12-07 at 2.04.49 AM

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2nd way: sq rt integral ∫(√x)/(x+1) dx

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UC Davis#4 4 ways: integrate 7^(2x+3) dx

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UC Davis #6 integral e^x(1+2e^x)^4 dx

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2 ways: derivative (ax+b)^n

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2nd way: ∫cos(x)/√(sin^2(x)+4sin(x)+3) dx

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U Penn: Show that the following decomposition CANNOT hold ...

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#17 2022 MIT Integration Bee Qualifying Exam

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3rd way: trig log integral ∫(a+ln(sin(x))/tan(x) dx

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