NDA2022MathematicsIndefinite IntegrationActual
If I₁= e^x d x e^x+e^ -x and I₂= d x e^ 2 x +1 , then what is I₁+I₂ equal to?
Options
- Ax 2 +c
- Bx+c
- C(e^x+e^ -x )+c
- D(e^x-e^ -x )+c
Correct answer
B. x+c
Step-by-step solution
aligned & I₁= e^x e^x+e^ -x d x= e^x e^x+ 1 e^x d x & = e^ 2 x e^ 2 x+1 d x & I₁+I₂= e^ 2 x +1 e^ 2 x +1 d x= 1 d x & =x+C aligned