Final Answer
$\frac{105}{2}$
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Step-by-step Solution
Problem to solve:
$\int_{1}^{2}\left(4x^5+x^5\right)dx$
Specify the solving method
1
Combining like terms $4x^5$ and $x^5$
$\int_{1}^{2}5x^5dx$
Learn how to solve definite integrals problems step by step online.
$\int_{1}^{2}5x^5dx$
Learn how to solve definite integrals problems step by step online. Integrate the function 4x^5+x^5 from 1 to 2. Combining like terms 4x^5 and x^5. The integral of a constant times a function is equal to the constant multiplied by the integral of the function. Apply the power rule for integration, \displaystyle\int x^n dx=\frac{x^{n+1}}{n+1}, where n represents a number or constant function, such as 5. Evaluate the definite integral.
Final Answer
$\frac{105}{2}$