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

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

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

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

x t^{3} + t

Solution steps

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

Integral of a constant:

\int a d x = a x

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

Compute the boundaries:

x t^{3} + t

= x t^{3} + t

\int_{0}^{x y} e^{\frac{z}{y}} d z

\int_{0}^{2} 8 x^{2} d x

\int_{a}^{\infty} x^{n} d x

\int_{24}^{25} x x^{2} - 576 d x

\int_{- 1}^{3} 3 x^{2} - 6 x d x

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