2nd way: trig integral ∫ 1/( √3 sin(x) + cos(x)) dx

IIT-1995 2nd way integral ∫x^5/(1+x^3) dx

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1st way: exp ∫(e^x)/x (1+x log(x)) dx

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

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🪔 Happy Deepavali 🪔 [Nov-12-2023]

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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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lim x/e^x? as x→∞

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The pth, qth, & rth terms of an AP are x,y,z respectively.

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UC Davis #16: Prove (fgh)'=f'gh+fg'h+fgh' [differentiation using the product rule]

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trig integral ∫tan^n(x) dx where n is EVEN via Reduction formula

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UC Davis#2: 2nd way integral ∫(2x+3)/(x^2-9) dx [integration by partial fraction]

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A random variable X has the following parameters: E(X)=a & Var(X)=2a^2-1 a∈R

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prob stat The events A & B are s.t P(A)=5/12, P(B)=2/3 & P(A' n B')=1/12.

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prob stat It is known that P(X)=1/2 & P(Y)=1/4. Given that X & Y are mutually exclusive, find

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logic: Simplify the Boolean function F=XYZ+XY'Z+XYZ'

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Gurjat CET-2007 2nd way log exp ∫e^(xln(2006) e^x dx

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Show ∫1/(a+btan(x)) dx = ...

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Let B be the mx1 col. matrix [1/m ... 1/m]'. If A =[a1 ... am] is any row matrix. What is AB?

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Solve the differential equation xcos^2(y) dx + tan(y) dy=0

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2nd way: trig Evaluate 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫sec^4(x)/tan(x) dx

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2 ways: trig integral ∫1/(2+cos^2(x)) dx

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