Final Answer
$159$
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Step-by-step Solution
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1
Expand the integral $\int_{1}^{4}\left(10x^2-8x+3\right)dx$ into $3$ integrals using the sum rule for integrals, to then solve each integral separately
$\int_{1}^{4}10x^2dx+\int_{1}^{4}-8xdx+\int_{1}^{4}3dx$
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$\int_{1}^{4}10x^2dx+\int_{1}^{4}-8xdx+\int_{1}^{4}3dx$
Learn how to solve definite integrals problems step by step online. Integrate the function 10x^2-8x+3 from 1 to 4. Expand the integral \int_{1}^{4}\left(10x^2-8x+3\right)dx into 3 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int_{1}^{4}10x^2dx results in: 210. The integral \int_{1}^{4}-8xdx results in: -60. The integral \int_{1}^{4}3dx results in: 9.
Final Answer
$159$