Integrate int(x^3x^3^(1/2)+5)dx

 Exercise

$\int\left(x^3\sqrt{x^3}+5\right)dx$

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Simplify the expression

$\int\sqrt{x^{9}}dx+\int5dx$

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The integral $\int\sqrt{x^{9}}dx$ results in: $\frac{2\sqrt{x^{11}}}{11}$

$\frac{2\sqrt{x^{11}}}{11}$

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The integral $\int5dx$ results in: $5x$

$5x$

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Gather the results of all integrals

$\frac{2\sqrt{x^{11}}}{11}+5x$

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As the integral that we are solving is an indefinite integral, when we finish integrating we must add the constant of integration $C$

$\frac{2\sqrt{x^{11}}}{11}+5x+C_0$

$\frac{2\sqrt{x^{11}}}{11}+5x+C_0$

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