0 View PremiumJul 27, 2023
2nd/2 way: Expand e^sin(x) by Maclaurin's Theorem
0 View
MPPET 1996 Hindustan: trig integral β« sin^2(x) -cos^2(x)/(sin^2(x) cos^2(x)) dx
18 Views
MP 8,93,96,97,99 Hindustan: Evaluate β« sec(x)/(sec(x)-tan(x)) dx
8 Views
MP 2000 Hindustan: Evaluate β«(tan(x)+cot(x))^2 dx
13 Views
1st way: exp β«(e^x)/x (1+x log(x)) dx
10 Views
AI 2008 Hindustan: Evaluate integral β« 2/3 cos(x)/sin^2(x) dx
2nd way: integral β« log βx(x^n) dx
40 Views
1st/3 parts: Growing patterns
2 ways: integral (3+5x)/(x(x-1)) dx
1st/2ways: Taylor series of sin(x)
derivative If y=acos(log(x)) + bsin(log(x)), prove that x^2y2+xy1+y=0
Diff Eq: Solve sec(x) dy/dx=y+sin(x) via Integrating factor [IF]
3 Views
2nd way: STPM Math 2 Sem.2 Ex 11.4 Find the first 4 terms in the Maclaurin series of each of ...
2nd/2 parts: Mean 1+2+3+...+n is just (1+n)/2. Why?
derivative: If x=cos(log(y)), show that (1-x^2)y2 - xy1 = y
trig integral β«sin(2x) cos(2x) / (9-cos^4(2x)) dx
Growing patterns #2
Solve cos^2(x) dy/dx +y = tan(x) via Integrating factor[IF]
2nd/2ways: Find lim (z^3-8)/(z-2) for z tends to 2
exp integral β«1/(e^(ax+b) (1+e^(ax+b)) dx