Question 280 of 416MediumMCQ
If I1=∫01e−xcos2xdx; I2=∫01e−x2cos2xdx and I3=∫01e−x3dx; then Solutions · 1
Official solution
For x∈(0,1): x>x2⇒−x<−x2, and x2>x3⇒−x2<−x3
∴e−x2<e−x3 and e−x<e−x2
⇒e−x<e−x2<e−x3⇒e−x3>e−x2>e−x
⇒I3>I2>I1 Answer the question to unlock