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

4:59

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

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

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

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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx

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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 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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West Virginia U: exp integral ∫3^x (2^x)^3/((6^x 4^(2x)) dx

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West Virginia U: exp integral ∫3^x (2^x)^3/((6^x 4^(2x)) dx

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2nd way: ∫(x+3)/(x^2+6x)^2 dx vs ∫(x+3)(x^2+6x)^2 dx

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2nd way: ∫(x+3)/(x^2+6x)^2 dx vs ∫(x+3)(x^2+6x)^2 dx

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Lamar U: #13 trig integral ∫(2+7sin^3(x))/cos^2(x) dx

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Lamar U: #13 trig integral ∫(2+7sin^3(x))/cos^2(x) dx

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Show that ar sinh(x) = ln(x + √ (x^2+1))

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Show that ar sinh(x) = ln(x + √ (x^2+1))

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2nd way: trig integral ∫1/(a+b sin(x)+c cos(x)) dx

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2nd way: trig integral ∫1/(a+b sin(x)+c cos(x)) dx

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2nd way: ∫2x/(x+5)^6 dx vs ∫2x (x+5)^6 dx

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2nd way: ∫2x/(x+5)^6 dx vs ∫2x (x+5)^6 dx

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Screen Recording 2024-05-19 at 11.13.23 PM

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Screen Recording 2024-05-19 at 11.13.23 PM

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derivative If y=acos(log(x)) + bsin(log(x)), prove that x^2y2+xy1+y=0

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derivative If y=acos(log(x)) + bsin(log(x)), prove that x^2y2+xy1+y=0

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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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exp Calculate ∫x^3 3^x dx via IBP

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exp Calculate ∫x^3 3^x dx via IBP

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2nd way: exp integral ∫e^(a√x)/√x dx

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2nd way: exp integral ∫e^(a√x)/√x dx

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Lamar U 2nd way: evaluate exp integral ∫e^(2x)/(1+e^(4x)) dx

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Lamar U 2nd way: evaluate exp integral ∫e^(2x)/(1+e^(4x)) dx

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Lamar U: Derivatives of Exponential & Log Functions Assignment Problems.

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Lamar U: Derivatives of Exponential & Log Functions Assignment Problems.

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3rd/3ways: trig integral ∫sec(x) dx

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3rd/3ways: trig integral ∫sec(x) dx

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1st way: lim ((1+h)^3-1)/h? as h→0

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1st way: lim ((1+h)^3-1)/h? as h→0

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