2nd/3ways: derivative If f(x)=(x-a)(x-b)(x-c), show f'(x)/f(x)=1/(x-1)+1/(x-b)+1/(x-c)

logic: tautology (¬p→q)∧(¬p→¬q) →p

118blbl118

5 Views

2nd way: integral ∫ log √x(x^n) dx

118blbl118

33 Views

MPPET 1996 Hindustan: trig integral ∫ sin^2(x) -cos^2(x)/(sin^2(x) cos^2(x)) dx

118blbl118

16 Views

CBSE 2000 Hindustan: integral (1+tan(x))/(x+log(sec(x)) dx

118blbl118

10 Views

RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx

118blbl118

15 Views

2nd way: integral ∫x/(a-bx^4) dx

118blbl118

1 View

trig integral ∫sin(2x) cos(2x) / (9-cos^4(2x)) dx

118blbl118

0 View

2 ways: The following measurements were taken by an antique dealer as he weighted to the ...

118blbl118

2 Views

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

118blbl118

1 View

trig derivative differentiate x^sin(x) + (sin(x))^cos(x)

118blbl118

0 View

2 ways: trig integral ∫sin(√x) dx

118blbl118

0 View

inverse trig integral ∫x^2 arc tan(x^3)/(1+x^6) dx

118blbl118

1 View

alternate way: count sum 1 + 2 + 3+... + n via "polynomial"

118blbl118

2 Views

count: How many subsets does {23,24,25,...,118} have?

118blbl118

0 View

UC Davis: differentiate y=2^cot(x)

118blbl118

0 View

Difference of 2 nonconsecutive triangular numbers

118blbl118

0 View

derivative differentiate x^x - 2^sin(x)

118blbl118

0 View

3 ways: trig integral ∫sin([118]) cos([118]) d[118]

118blbl118

0 View

2nd way: trig differentiate (log(x))^cos(x)

118blbl118

0 View

2nd way: derivative x^(-1/x)

118blbl118

0 View