If I is the greatest of the definite integrals I1=∫10e−xcos2 x dx – InterviewSolution

1.	If I is the greatest of the definite integrals I1=∫10e−xcos2 x dx,I2∫10e−x2 cos2 xdx I3=∫10e−x2 dx,I4=∫10e−x2/2dx, then
Answer» If $I$ is the greatest of the definite integrals $I_{1} = \int_{0}^{1} e^{- x} c o s^{2} x d x, I_{2} \int_{0}^{1} e^{- x^{2}} c o s^{2} x d x$ $I_{3} = \int_{0}^{1} e^{- x^{2}} d x, I_{4} = \int_{0}^{1} e^{- x^{2} / 2} d x,$ then

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