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Alternate: trig integral ∫sec(x) dx withOUT explicit partial fraction

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1st/2ways: Taylor series of sin(x)

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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: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) 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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2nd/2ways: Taylor series of cos(x)
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2nd/2ways: Taylor series of cos(x)

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derivative: If x=cos(log(y)), show that (1-x^2)y2 - xy1 = y
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derivative: If x=cos(log(y)), show that (1-x^2)y2 - xy1 = y

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Doraemon the Movie- Nobita's Earth Symphony 2024 الترجمة العربية
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2nd way: ∫x/(x^4+2x^2+2) dx
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2nd way: ∫x/(x^4+2x^2+2) dx

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2nd/2 ways: exp log integral ∫e^(n ln(x)) dx
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2nd/2 ways: exp log integral ∫e^(n ln(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: trig integral ∫1/(a+b sin(x)+c cos(x)) dx

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2nd way: integral ∫x^2 √(x^3+1) dx vs ∫x^3 √(x^3+1) dx
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2nd way: integral ∫x^2 √(x^3+1) dx vs ∫x^3 √(x^3+1) dx

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2nd way: integral ∫ 1/(1+x+x^2) dx
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2nd way: integral ∫ 1/(1+x+x^2) dx

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

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2nd/2ways: Taylor series of sin(x)
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2nd/2ways: Taylor series of sin(x)

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2nd way: exp integral ∫e^(a√x)/√x dx

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2nd way: integral ∫1/(6x^2+7x+2) dx
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2nd way: integral ∫1/(6x^2+7x+2) dx

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2nd way: log ∫1/(x(10+7log(x) + (log(x))^2) dx
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2nd way: log ∫1/(x(10+7log(x) + (log(x))^2) dx

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Laman utama>Alternate: trig integral ∫sec(x) dx withOUT explicit partial fraction>