overall accuracy: 82.4% record: 11 score: 11 ∫4^x dx = 4^x + c 4^(x + 1)/(x + 1) + c 4^x/ln 4 + c 4^x ln 4 +…

overall accuracy: 82.4% record: 11 score: 11 ∫4^x dx = 4^x + c 4^(x + 1)/(x + 1) + c 4^x/ln 4 + c 4^x ln 4 + c high score board: overall you must have at least 100 to be on the board. # name record

overall accuracy: 82.4% record: 11 score: 11 ∫4^x dx = 4^x + c 4^(x + 1)/(x + 1) + c 4^x/ln 4 + c 4^x ln 4 + c high score board: overall you must have at least 100 to be on the board. # name record

Answer

Explanation:

Step1: Recall exponential - integral formula

The general formula for $\int a^{x}dx=\frac{a^{x}}{\ln a}+C$, where $a > 0,a\neq1$. Here $a = 4$.

Step2: Apply the formula

Substituting $a = 4$ into the formula $\int a^{x}dx$, we get $\int4^{x}dx=\frac{4^{x}}{\ln 4}+C$.

Answer:

$\frac{4^{x}}{\ln 4}+C$