Question

integrate sqrt(10^(3x))dx

Answer 1

please help me solve this question

Answer 2

Perhaps substitution after rewriting as
\[\int\limits 10^{3x/2}dx\]
let u = 3x/2, and integrate using exponential rule.

Answer 3

\[I=\int\limits \sqrt{10^{3X}}dx=\int\limits10^{\frac{ 3x }{2 }}dx\]
\[put ~\frac{ 3x }{2 }=t,\frac{ 3 }{ 2 }dx=dt,dx=\frac{ 2 }{ 3 }dt\]
\[\int\limits a ^{x}dx=\frac{ a ^{x} }{\log a}\]

Answer 4

Thank you so much both of you for helping me i really appreciate it

Answer 5

yw