Evaluate $\int_{-1}^{1} (x + 1)^{2}\mathrm {d} x$. 

Similar Questions

A and B are two independent events such that $P(A) = \frac{2}{5}$ and \(P(A \cap B) = \frac{1}{15}...

Factorize completely: $x^{2} + x^{2}y + 3x - 10y + 3xy - 10$....

$Differentiate f (x) = \frac{1}{(1 - x^2)^5}$ with respect to $x$....

Find the equation of the line that is perpendicular to $2y + 5x - 6 = 0$ and bisects the line join...

A particle moving with a velocity of 5m/s accelerates at 2m/s$^2$. Find the distance it cover...

Consider the statements: x: Birds fly y:  The sky is blue Which of the following statements ...

Given that $\frac{\mathrm d y}{\mathrm d x} = 3x^{2} - 4$ and y = 6 when x = 3, find the equation ...

Marks 5 - 7 8 - 10 11 - 13 14 -  16 17 - 19 20 - 22 Frequency 4 7 26 41 1...

In how many ways can 8 persons be seated on a bench if only three seats are available? ...

A line passes through the origin and the point $(1\frac{1}{4}, 2\frac{1}{2})$, what is the gradien...