UC Davis #12: exp integrate ∫(27e^(9x) + e^(12x))^(1/3) dx

4 ways: exp integral ∫a^(bx+c) dx

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

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

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1st/2ways: logic Import-Export

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Mohammad Ali Jinnah University: Integrate the followings.

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Alternate way: Evaluate exp integral ∫1/√(1-e^(2x)) dx

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3rd/10parts: Exclusive disjunction

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3 ways: sum Show 1+3+5+...nth term = n^2

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Alternate way: Evaluate exp sq root integral ∫a^x/√(1-a^(2x)) dx

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trig integral ∫sin^(-2/3)(x) cos^3(x) dx

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trig integral ∫(sin^3(ln(x))+cos^3(ln(x))/x dx

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logic: tautology (¬p→q)∧(¬p→¬q) →p

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3 ways: trig integral ∫sec^2(x) tan(x) dx

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6th form Pure Math: Evaluate the integrals

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trig integral ∫sec^7(x) tan^5(x) dx

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1st/2ways: permutation Show P(n,2)+P(n,1)=n^2

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Princeton U: Compute the integral ∫sin^5(x)/cos(x) dx

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prob & stat: Show ...

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2nd/2ways: Evaluate trig integral ∫1/(sin(x) + cos(x)) dx

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integral ∫e^x(1/x - 1/x^2) dx

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