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Indefinite Integrals
U-Substitution
Constant Multiple Rule
e^power Rule
Natural Log Rule
100
∫(t^2-sint)dt
What is 〖t^3/3+cost+C〗
100

∫5cos(5x) dx

What is sin(5x)+C

100
∫〖〖(3x-1)〗^5 dx〗
What is ∫〖〖(3x-1)〗^6/18+C〗
100
∫〖e^4x dx〗
What is 1/4 e^4x+C
100
∫dy/(y+5)
What is ln|y+5|+C
200
∫(4sinx+2cosx)dx
What is 〖-4cosx+2sinx+C〗
200
∫〖2x(x^2+1)^23 dx〗
What is (x^2+1)^24)/24+
200
∫〖sec^2 5xdx〗
What is 1/5 tanx5x+C
200
∫x^(2e^(x^(3+1) ) dx
What is (e x^3+1)/3+C
200
∫(e^x)/(2+e^x)dx
What is ln|2+e^x|+C
300
∫(1-cscxcotx)dx
What is 〖X+cscx+C〗
300
∫〖(tanx+3)(〖sec〗^2 dx)dx
What is 〖(tanx+3)^2)/2+C〗
300
∫〖xsinx^2dx〗
What is (-1)/2 cos(x^2 )+C
300
∫e^sin ⊖cos⊖d⊖
What is e^(sin⊖)+C
300
∫〖(e^x)/(5e^x+6) dx〗
What is 1/5 ln|5e^x+6|+C
400
∫〖(x^3+x-2)/x^2 dx〗
What is x^2/2+lnlx|+(2x^-1)/(-1)+C
400
∫√(9-x^2 ) (-2x)^4dx
What is 2/3 ((9-x^2)^3/2)/2+C
400
∫〖sec4xtan4x dx〗
What is 1/4 sec4x+C
400
∫〖x^2 e^(2x^(3-1) ) dx〗
What is (e 2x^3-1)/6+C
400
e^x-e^-x|e^x+e^-xdx
What is ln|e^x+e^-x|+C