UT Austin: sq root integral ∫1/((√x) (1+ √x))dx

2nd part: n^2 = (tn - tn-1)^2 where tn = nth triangular number

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1st way: exp ∫(e^x)/x (1+x log(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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trig integral ∫3e^(2x)/(1+e^(4x)) dx

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trig integral ∫sin(x) cos(x) cos(2x) cos(4x) cos(8x) cos(16x) cos(32x) dx

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hyper trig integral ∫cosh(x) a^(logb(sinh(x)) ))dx

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trig Show tan(x)/(sec(x)+1)=(sec(x)-1)/tan(x)

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Evaluate trig integral ∫1/(a+bcos^2(x)) dx

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exp integral ∫e^x /(e^2x + 4) dx

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2 ways: exp integral p^(qx+r) dx

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UC Davis: #8 integrate ∫cos(5x)/(3+sin(5x)) dx

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3rd/3 ways: Alternate way: Given 2 points, find equation of st line passing the ..

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Evaluate the integrals

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1st/2 ways: trig integral ∫sin^3(x) dx

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2nd way: trig 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫sin(x)cos(x)cos(4x)cos(8x)cos(16x)cos(32x)cos(64x) dx

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Evaluate trig integral ∫1/(sin^4(x/2)) dx

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integral ∫x^(n-1)/(1+x^n) dx

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2nd way: trig Evaluate 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫ cos^2(x) sin^3(x) dx

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