Calculus Examples

$\int 10^{12 \log (t)} d t$

Step 1

Simplify $12 \log (t)$ by moving $12$ inside the logarithm.

$\frac{d}{d x} [\int 10^{\log (t^{12})} d t]$

Step 2

Exponentiation and log are inverse functions.

$\frac{d}{d x} [\int t^{12} d t]$

Step 3

Since $\int t^{12} d t$ is constant with respect to $x$ , the derivative of $\int t^{12} d t$ with respect to $x$ is $0$ .

$0$