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3 picture views of the sum ... 1+2+3+...+n
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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx
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1st way: exp ∫(e^x)/x (1+x log(x)) dx
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trig Write each expression as an equivalent algebraic expression involving only x.
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MP 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(x)) dx
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gymrat
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2 ways: trig Show tan(2x)=2/(cot(x)-tan(x))
Vandermonde's Identity
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1st/2ways: exp e^g(x) (g'(x)f(x) + f'(x)) dx
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4 ways: trig integral ∫sin(x) cos(x) dx
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2nd/3part: Maclaurin Series [ahp kia]
hyper trig integral ∫cosh(x) a^(logb(sinh(x)) ))dx
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2 ways: trig integral ∫tan(x)/sec^5(x) dx
2nd/2parts Mohammad Ali Jinnah University: Integrate the followings.
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exp integral ∫a^(√√x^3)/√√x dx
If ∫ 2^(1/x)/x^2 dx = a 2^(1/x) +C, then a is?
2nd Alternate: trig integral ∫cos(x) dx
2 ways: derivative Find dy/dx for x cos(3y)+x^3y^5 = 3x-e^(xy)
William & Mary Math 112: trig integral x cos(3x) dx
Calculus: If u=f(x+cy)+g(x-cy) then uxx / uyy ?
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