$$\int_{1}^{0}(x^3+x)^5(3x^2+1)dx $$
You asked:
Evaluate the integral: \(\int_{1}^{0}{{\left( {x}^{3} + x \right)}^{5} \cdot \left(3 \cdot {x}^{2} + 1\right)}dx\)
MathBot Answer:
Definite integral
\[\int_{1}^{0}{{\left( {x}^{3} + x \right)}^{5} \cdot \left(3 \cdot {x}^{2} + 1\right)}dx = - \frac{32}{3} = -10.\overline{6}\]