Let f(x) be a polynomial of degree 1. If f(10)-f(5)=15, then f(20)-f(5)=?

2nd way: Evaluate ∫ 1/√(1-e^(2x)) dx

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

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logic Idempotent law show x=xVx

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AI 2008 Hindustan 2nd/2 ways: Evaluate trig integral ∫2cos(x)/(3 sin^3(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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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx

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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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JEE Main integral x^2/(a+bx)^2 dx

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prob stat: A fair 6-sided dice, with sides numbered 1,1,2,2,3,55 is thrown.

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

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Find the mean of the data given in the freq. distribution below ...

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

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Screen Recording 2024-05-10 at 6.31.29 PM

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UC Davis #3 2nd way: ∫(2-x)/(x^2+5x)dx [integration by partial fraction]

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Screen Recording 2024-05-19 at 9.45.17 PM

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example: Mean, Median & Mode

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