Question:
int ex (f(x) + f'(x)) is equal to
int ex (f(x) + f'(x)) is equal to
Options:
- ex + f(x) + C
- ex f(x) + C
- ef(x) + f(ex) + C
- ex (f(x) – f'(x)) + C
- ex + f(x) + C
- ex f(x) + C
- ef(x) + f(ex) + C
- ex (f(x) – f'(x)) + C
Correct Answer: b)
Explanation:
‘
! Jet (f(z) + f'(z))dz = e® f(z)dz + e® f'(x)dz ‘
1 = f(z)e* — f'(z)e*dz + f'(z)e”dz + C
‘ (Using By Part, taking f(x) as I function)
= f(z)e® + C
‘ It is a standard formula.
) 94. H
(d) log sinz + cosz + C
‘
‘
! Jet (f(z) + f'(z))dz = e® f(z)dz + e® f'(x)dz ‘
1 = f(z)e* — f'(z)e*dz + f'(z)e”dz + C
‘ (Using By Part, taking f(x) as I function)
= f(z)e® + C
‘ It is a standard formula.
) 94. H
(d) log sinz + cosz + C
‘