Alternate way: sq root integral ∫1/√((x-α)(x-β)) dx

sum Find 1/1.4 + 1/4.7 +1/7.10+... +1/((3n-2)(3n+1))

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exp Differentiate (i) b^e^x (ii) b^x&e (iii) (b^e)^x (iv) (b^x)^e

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

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

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1st way: exp ∫(e^x)/x (1+x log(x)) dx

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

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2 ways: diff eq Solve dy/dx-x^2=0

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1st/2parts 3 ways: tn-1 + tn = n^2 where tn = nth triangular number

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derivative a^(f(x)g(x))^h(x)

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

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4 ways: exp integral ∫a^(bx+c) dx

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Add math: 3rd/3ways Core Auditorium is an amphitheater that has ..

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trig integral ∫cos^4(x)/sin^8(x) dx

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integral ∫1/((px-q)^2+r) dx

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sum count sigma Show a Σbk = Σabk where k=1 to n

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2nd/2 ways: MIT Integration Bee Final

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