Question

integration of [2x - 3cosx + e^x].dx

Answer 1

this is answer .........

Answer 2

given, $\int{[2x - 3cox + e^x]}\,dx$

I = ∫[2x - 3cox + eˣ ]dx

= ∫2x.dx - ∫3cosx.dx + ∫eˣ.dx

= 2∫x.dx - 3∫cosx.dx + ∫eˣ.dx

= 2.$\frac{x^2}{2}$ - 3sinx + eˣ + C

= x² - 3sinx + eˣ + C