Question
Question: The value of l for which \(\int_{}^{}\frac{4x^{3} + \lambda 4^{x}}{4^{x} + x^{4}}\)dx = log (4<sup>x...
The value of l for which ∫4x+x44x3+λ4xdx = log (4x + x4) is –
A
1
B
log e 4
C
log 4 e
D
4
Answer
log e 4
Explanation
Solution
4x + x4 = t
̃ (4x3 + 4x ln e4) dx = dt
\ ∫tdt = log |t| + c
