Arc Functions
Basic integration
U-Substitution
bonus
Mind Busters
100
ʃ 1/ 1+x²
What is arctanx+c
100
ʃ sin x dx
What is -cos (x)+c
100
ʃ √ 7x + 9dx identify the U
What is 7x+9
100
what is the use of an integral?
What is the area between any set of curves?
100
cot x
What is cosx/sinx or 1/tanx
200
ʃ e˟/1+(e²˟)
What is arctan e˟+ c
200
ʃ 1/x dx
What is lnx+c
200
ʃ x sin(x²)dx
What is -1/2 cos x²+C
200
Define the integral
What is the anti-derivative
200
who discovered calculus?
Who is Newton and Leibniz
300
ʃ (x²+x-1)dx+ ʃ 1/ x²+1 dx
What is xᵌ/3+ x²/2-x+ arctanx+ C
300
ʃ tan x dx
What is -ln|cosx|+ c
300
Solve ʃ (2x+2)e˟²⁺²˟⁺ᵌ dx
What is e˟²⁺²˟⁺ᵌ+c
300
ʃ f'(x) dx= f(b)- f(a)
What is the fundamental value theorem of calculus part 1
300
ʃ 5sec4xtan4x dx
What is 5/4 sec 4x +c
400
ʃ e˟/ √1-e²˟ dx
What is Arcsin e˟+C
400
ʃ -ln|csc(π/3)+cot(π/3)|
What is 2√3/3
400
ʃ x²√1+xᵌ dx
What is 1/3.3/2 u²/ᵌ +c
400
when was calculus invented
When is the late 17th century?
400
ʃ cos²x/1+sin x
What is x+cos x+c
500
ʃ 1/√ 1-49x² dx
What is 1/7 arcsin(7x)+C
500
ʃ xᵌ/ (1+x᷾ᶥ)ᶦ/ᵌ
What is (3/8)(1+x᷾ᶥ)²/ᵌ +c
500
ʃ (cos5x/ 3+ sin 5x)+C
What is (1/5)ln |3+sin 5x| +C
500
The speed of a car increases from rest up to 100 km/hr in 30 seconds. Find the distance that the car has travelled during this time.
What is 414m
500
ʃ (sinx + cosx)²
What is x+ sin²x+c
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