Solve \int (4 x^(3/2) (7x 1)3)dx

Question

Evaluate the integral

24 x^{3} x + C, C \in R

Evaluate

\int (4 x^{\frac{3}{2}} (7 x \times 1) \times 3) d x

Evaluate

\int 4 x^{\frac{3}{2}} (7 x \times 1) \times 3 d x

Remove the parentheses

\int 4 x^{\frac{3}{2}} \times 7 x \times 1 \times 3 d x

Multiply the terms

More Steps

\int 84 x^{\frac{5}{2}} d x

Use the property of integral \int k f (x) d x = k \int f (x) d x

84 \times \int x^{\frac{5}{2}} d x

Use the property of integral \int x^{n} d x = \frac{x ^{n + 1}}{n + 1}

84 \times \frac{x ^{\frac{5}{2} + 1}}{\frac{5}{2} + 1}

Simplify

More Steps

84 \times \frac{2}{7} x^{\frac{7}{2}}

Multiply the numbers

More Steps

24 x^{\frac{7}{2}}

Use a^{\frac{m}{n}} = n a^{m} to transform the expression

24 x^{7}

Simplify the radical expression

More Steps

24 x^{3} x

Solution

24 x^{3} x + C, C \in R

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