BITSAT2015MathematicsLimitsActual
_ x ₀^ 2 x x e^ x² d x e^ 4 x² equals
Options
- A0
- B2
- C1 2
Correct answer
3
Step-by-step solution
Consider _ x ₀^ 2 x x e^ x² d x e^ 4 x² array l = _ x 2 ₀^ 2 x x e^ x² d x 2 e^ 4 x² = _ x 2 ₀^ 2 x e^ x² d (x² ) 2 e^ 4 x² = _ x [e^ x² ]₀^ 2 x e^ 4 x² = _ x e^ 4 x² -1 2 e^ 4 x² = _ x ( 1 2 - 1 2 e^ 4 x² )= 1 2 array