Arrange in increasing order

I_1=\int_{0}^{1}{e^{-\frac{x^2}{2}}}dx
I_2=\int_{0}^{1}{e^{-x^2}}dx
I_3=\int_{0}^{1}{e^{-x^2}}cos^2xdx
I_4=\int_{0}^{1}{e^{-x}}cos^2xdx

1 Answers

Hint: Instead of the integrals, just look at the value of the function in the range of 0 to 1

compare the functions that we have to integrate....

I am sure you will be able to get some way ahead.. then ask for more hints :)

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