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Definite Integral
Inverse Functions
Volume
Trignometry
Region between 2 curves
100
∫_4^10▒6dx
36
100
x^3
∛x
100
√(sinx) and the x-axis
2π
100
derive y=sin2x
2cos2x
100
Between x=4-y^2 and x=y-2 with respect to x axis
125/6
200
∫_1^2▒〖(x^2+1)dx〗
10/3
200
√(x-4)
x^2+4
200
2-x^2 around y=1
16π/5
200
∫▒〖5/√(9-x^2)〗dx
5arcsinx/3+C
200
x^3-4x,g(x)=0
32/3
300
∫_2^4▒〖(1/2 x^3-3x+2)dx〗
16
300
1/(1+x)
(1-x)/x
300
y=x^2 and y=x^3
2π/35
300
derive arctanx/a
a/a^2+x^2
300
f(x)=√3x+1, y=x+1
3/2
400
∫_(-2)^2▒〖(√(4-x^2) dx〗
2π
400
∛(x-1)
x^3+1
400
y=x^2, y=4x-x^2 around y=6
64π/3
400
∫▒〖x-3/(x^2+1)〗dx
1/2ln(x^2+1)-3arctanx+C
400
f(x)=10/x, x=0, y=2, y=10
10ln5=16.094
500
Approximate ∫_0^1▒〖(2sinπx)dx〗
5/4
500
x/√(x^2+7)
√7x/(√(1-x^2))
500
y=e^-x, y=0,x=0,x=1
1.358
500
Derive 8arcsinx/4-(x√(16-x^2))/2
x^2/(√(16-x^2)
500
y=√(1+x^3), y=1/2(x)+2, x=0
1.759