Final Answer
$\frac{1}{2}\cdot b100^2-\frac{1}{2}$
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Step-by-step Solution
Problem to solve:
$\int_{a^0}^{b100} xdx$
Specify the solving method
1
Any expression (except $0$ and $\infty$) to the power of $0$ is equal to $1$
$\int_{1}^{b100} xdx$
Learn how to solve definite integrals problems step by step online.
$\int_{1}^{b100} xdx$
Learn how to solve definite integrals problems step by step online. Integrate the function x from a^0 to b100. Any expression (except 0 and \infty) to the power of 0 is equal to 1. Applying the power rule for integration, \displaystyle\int x^n dx=\frac{x^{n+1}}{n+1}, where n represents a number or constant function, in this case n=1. Evaluate the definite integral. Simplify the expression inside the integral.
Final Answer
$\frac{1}{2}\cdot b100^2-\frac{1}{2}$