#2 2023 MIT Integration Bee Qualifying Exam

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∫sech(x) dx.

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2 ways: integral ∫(x-a)/(x+a) dx

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2 ways: integral ∫(x-a)/(x+a) dx

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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx

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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx

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2nd/3ways: trig integral ∫sec(x) dx

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2nd/3ways: trig integral ∫sec(x) dx

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integral ∫ x dx withOUT using Power rule.

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integral ∫ x dx withOUT using Power rule.

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

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

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Solve the following differential equation cos^2(x)dy/dx +y = tan(x)

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Solve the following differential equation cos^2(x)dy/dx +y = tan(x)

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1st/3parts: Checkpoint 1.1 STPM Math T Sem2

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1st/3parts: Checkpoint 1.1 STPM Math T Sem2

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UC Davis: differentiate y=(3x+1)^2

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UC Davis: differentiate y=(3x+1)^2

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2nd way: trig integral ∫sin(x)/(a-bcos(x)) dx

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2nd way: trig integral ∫sin(x)/(a-bcos(x)) dx

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#10 2024 MIT Integration Bee Qualifying Exam

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#10 2024 MIT Integration Bee Qualifying Exam

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2nd way: ∫1/(√(x-α)(x-β)) dx

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2nd way: ∫1/(√(x-α)(x-β)) dx

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2nd/2 ways: #12 2024 MIT Integration Bee Qualifying Exam

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2nd/2 ways: #12 2024 MIT Integration Bee Qualifying Exam

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2nd way: integral ∫ 1/(5x^2 -3x +7) dx with BONUS

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2nd way: integral ∫ 1/(5x^2 -3x +7) dx with BONUS

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Screen Recording 2024-05-18 at 11.12.27 PM

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Screen Recording 2024-05-18 at 11.12.27 PM

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UC Davis p#12: 2nd way differentiate y=x^(x^(x^4)))

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UC Davis p#12: 2nd way differentiate y=x^(x^(x^4)))

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2nd way: integral ∫x^(n-1) sin(x^n) dx

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2nd way: integral ∫x^(n-1) sin(x^n) dx

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

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

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2nd way: integral ∫a^log√a(x^n) dx

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2nd way: integral ∫a^log√a(x^n) dx

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UC Davis: differentiate y=ln(cos^5(3x^4))

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UC Davis: differentiate y=ln(cos^5(3x^4))

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2 ways: ∫1/(x^2+2x-3) dx

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2 ways: ∫1/(x^2+2x-3) dx

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