Solve \int 2 - 2 | x cos \pi x

Evaluate

\int (2 - 2 ∣ x cos (π) \times x ∣) d x

Calculate

\int (2 - 2 ∣ x (- 1) x ∣) d x

Multiply

More Steps

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

Calculate the absolute value

More Steps

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

Rewrite the expression

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

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

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

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

Calculate

2 \times \int 1 d x + 2 \times \int - x^{2} d x

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

2 x + 2 \times \int - x^{2} d x

Evaluate the integral

More Steps

2 x - \frac{2 x ^{3}}{3}

Solution

2 x - \frac{2 x ^{3}}{3} + C, C \in R