Question
Evaluate :
$\int_{-\pi / 4}^{\pi / 4} x^3 \cdot \sin ^4 x \cdot d x$
$\int_{-\pi / 4}^{\pi / 4} x^3 \cdot \sin ^4 x \cdot d x$
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$\int_2^3 \frac{1}{x^2+5 x+6} \cdot d x$
$\frac{2 x}{\left(2+x^2\right)\left(3+x^2\right)}$
| $X = X_i$ | 1 | 2 | 3 | 4 |
| $P(X = X_i)$ | c | 2c | 4c | 4c |
| X | 1 | 2 | 3 | 4 | 5 |
| P(X) | $\frac{1}{20}$ | $\frac{3}{20}$ | a | 2a | $\frac{1}{20}$ |