Solve \int 3(-x^3-2x^2 x-1)dx

Evaluate

\int 3 (- x^{3} - 2 x^{2} \times x - 1) d x

Multiply

More Steps

\int 3 (- x^{3} - 2 x^{3} - 1) d x

Subtract the terms

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\int 3 (- 3 x^{3} - 1) d x

Multiply the terms

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\int (- 9 x^{3} - 3) d x

Rewrite the expression

\int - 3 (3 x^{3} + 1) d x

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

- 3 \times \int (3 x^{3} + 1) d x

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

- 3 (\int 3 x^{3} d x + \int 1 d x)

Calculate

- 3 \times \int 3 x^{3} d x - 3 \times \int 1 d x

Evaluate the integral

More Steps

- \frac{9 x ^{4}}{4} - 3 \times \int 1 d x

Use the property of integral \int k d x = k x

- \frac{9 x ^{4}}{4} - 3 x

Solution

- \frac{9 x ^{4}}{4} - 3 x + C, C \in R