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sum Find 1/1.4 + 1/4.7 +1/7.10+... +1/((3n-2)(3n+1))
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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx
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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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2 ways: sq root derivative 1/(√√(1/√x))
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trig Write each expression as an equivalent algebraic expression involving only x.
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3rd/3 ways: Alternate way: Given 2 points, find equation of st line passing the ..
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Show ∫1/(a+btan(x)) dx = ...
UC Davis #16: Prove (fgh)'=f'gh+fg'h+fgh' [differentiation using the product rule]
prob stat: A group consists of 4 girls & 7 boys. In how many ways can a team of 5 members ...
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3 picture views of the sum ... 1+2+3+...+n
exp integral ∫ a^x da
trig integral ∫x^2 cos(x^3) e^sin(x^3) dx
#3 2023 MIT Integration Bee Qualifying Exam
#14 2020 MIT Integration Bee Quali Exam: integral sin(x+sin(x))-sin(x-sin(x)) dx
#8 2020 MIT Integration Bee Quali Exam: integral ∫x/(1-x^4) dx
UC Davis #8: integral cos(5x)/(3+sin(5x)) dx
#12 2014 MIT Integration Bee Qualifying Exam
picture "proof":Show Σk^2 = ΣΣmin(i,j) where i,j,k=1 to n