4 Views PremiumJun 20, 2023
2nd/2ways: count perm Show P(n,n)=P(n,n-1)
1 View
Solve the following differential equation cos^2(x)dy/dx +y = tan(x)
14 Views
AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) dx
38 Views
CBSE 2000 Hindustan: integral (1+tan(x))/(x+log(sec(x)) dx
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MP 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(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 ...
31 Views
1st/4 ways: integral ∫1/(x + √x) dx
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exp integral ∫(e^x +1)^3 dx
1st/2ways: permutation Show P(n,2)+P(n,1)=n^2
8 Views
Screen Recording 2024-02-22 at 10.30.06 PM
2nd/2ways: r-Permutations
5th/5ways: triangular num: Show t(n-1) + tn = n^2 where tn = nth triangular number
trig integral ∫1/(1+cos(ax+b)) dx
3 Views
Screen Recording 2024-05-11 at 8.58.53 PM
UT Austin: trig sq root integral ∫1/(sin(x) + cos(x)) dxsin(√x)/√(x cos^3(√x)) dx
2nd way: Express (4x-17)/((x+4)(2x-3)) in partial fractions via
UT Austin: sq root ∫(1+√x)^3/√x dx
2 Views
integration bee 2014 UNSW 3rd way: e^x(cos(x)+sin(x)) dx
Review: trig sin(x+90)= cos(x) & cos(x+90)=-sin(x)
Alternate way exp derivative (logf(x)(g(x)))^a
7 Views