`I=int(3x^(2)+e^(x))dx`

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Explore conceptually related problems

" 2.If "I=int(x^(2)+e^(2)x)dx," then "I=

int x^(2)e^(3x)dx

If int x^(2) e^(3x) dx = e^(3x)/27 f(x) +c , then f(x)=

(i) int x^(2) " cos x dx " " "(ii) int x^(2) e^(3x) " dx "

If I_(1)=int_(e)^(e^(2))(dx)/(ln x) and I_(2)=int_(1)^(2)(e^(x))/(x)dx

Evaluate: (i) int xe^(x)^^2dx (ii) int(e^(2x))/(1+e^(x))dx

If I_(1)=int_(e )^(e^(2)) (dx)/(logx)"and "I_(2)=int_(1)^(2)(e^(x))/(x)dx ,then

If I_(1)=int_(n)^(e^(2))(dx)/(lnx) and I_(2) = int_(1)^(2)(e^(x))/(x) dx_(1) then

I=int_(0)^(2)(e^(f(x)))/(e^(f(x))+e^(f(2-x)))dx is equal to

"int(3^(x)e^(3x-2))dx=..........+c