What is the integral from 0 to 7 of 2x\sqrt[3]{x+1} ?

The integral from 0 to 7 of 2x\sqrt[3]{x+1} is 1209/14

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integral from 0 to 7 of 2x\sqrt[3]{x+1}

\frac{1209}{14}

Decimal Notation

86.35714 \dots

Solution steps

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

Apply u-substitution

Expand

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

\int_{1}^{8} u^{\frac{4}{3}} d u = \frac{381}{7}

= 2 (\frac{381}{7} - \frac{45}{4})

Simplify

2 (\frac{381}{7} - \frac{45}{4}) : \frac{1209}{14}

= \frac{1209}{14}

\int x^{2} + 7 x - 5 d x

\int \frac{1}{sin ^{5} ( x )} d x

\frac{\partial}{\partial x} (cos^{2} (3 x - y^{2}))

f (x) = x + \frac{1}{x ^{3}}

x = 2 y, x = y^{2} - 3

What is the integral from 0 to 7 of 2x\sqrt[3]{x+1} ?
The integral from 0 to 7 of 2x\sqrt[3]{x+1} is 1209/14