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Question #e251c

1 Answer

Jun 3, 2017

I tried this:

Explanation:

#int(4e^t+3)dt=int4e^tdt+int3dt=4e^t+3t+c#

#int(2/x^2+5sqrt(x))dx=int2x^-2dx+int5x^(1/2)dx=2x^-1/(-1)+5(x^(3/2))/(3/2)+c=-2/x+10/3xsqrt(x)+c#

I used the fact that:
#intx^ndx=x^(n+1)/(n+1)+c#

and:

#x^-n=1/x^n#

#x^(m/n)=rootn(x^m)#

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