Q. 34 - Calculus

Question

Fill in the blanks to complete each of the following integration formulas.

For $b>0$ and $b$ not equal to 1 $\int b^x dx$$=...........$

Step-by-Step Solution

Answer

The value is $\int b^{x }dx =\frac{1}{In b}{b}^x+C$.

Step 1. Given information .

Consider the given integral $\int b^x dx$ for this $b>0$ and $b$ not equal to 1 .

Step 2. Fill the blank for ∫ b x   d x .

The integral of the basic function $\int b^x$ $dx$ for $b>0$ and $b$ not equal to 1 is ,

$\int b^x dx =\frac{1}{In b}{b}^x+C$