MP-98 2nd/2 ways Evaluate i) ∫e^(loge(x)) dx ii) ∫e^(-loge(x)) dx

A bag contains 5 red balls & 3 green balls. A ball is selected at random &

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Solve the following differential equation cos^2(x)dy/dx +y = tan(x)

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

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integral ∫ x dx withOUT using Power rule.

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A box contains 8 blue & 6 red socks. What is the number of ways that 2 socks can be drawn ...

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Review: Linear form, Quadratic form & Bilinear form

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Alternate way: Find 1+2+3+... +(n-1)+n via "polynomial degree 2"

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trig Write each expression as an equivalent algebraic expression involving only x.

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Derivative d/dx(x^x) NOT equal ...

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3rd/3ways: trig integral ∫sec(x) dx

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example: Mean, Median & Mode

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Alternate way: integral ∫ax+b dx

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4 ways: trig integral ∫sin(x) cos(x) dx

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integral ∫√(x-a)/x dx

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1st/3ways: trig integral ∫sec(x) dx

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2 ways: exp integral ∫(p^x + q^x)/r^x dx

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1st/10 parts: Logical disjunction

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UC Davis: 4 ways exp integral ∫7^(2x+3) dx

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