What is the integral from 0 to x of sqrt(t^3+t^5) ?

The integral from 0 to x of sqrt(t^3+t^5) is xsqrt(t^5+t^3)

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integral from 0 to x of sqrt(t^3+t^5)

\int_{0}^{x} t^{3} + t^{5} d x

x t^{5} + t^{3}

Solution steps

\int_{0}^{x} t^{3} + t^{5} d x

Integral of a constant:

\int a d x = a x

= [t^{3} + t^{5} x]_{0}^{x}

Compute the boundaries:

x t^{5} + t^{3}

= x t^{5} + t^{3}

\int_{0}^{2} 2 x + 4 d x

\int_{- 2}^{2} (4 - x^{2}) d x

\int_{0}^{8} x^{e} + e^{x} d x

\int_{- 1}^{1} (3 x^{2} - 2 x + 4) d x

\int_{0}^{2} 4 x^{4} d x

What is the integral from 0 to x of sqrt(t^3+t^5) ?
The integral from 0 to x of sqrt(t^3+t^5) is xsqrt(t^5+t^3)