What is the integral from-x to x of t^3 ?

The integral from-x to x of t^3 is 0

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integral from-x to x of t^3

\int_{- x}^{x} t^{3} d t

0

Solution steps

\int_{- x}^{x} t^{3} d t

If f(x) is an odd function and continuous at:

[- a, a]

then

\int_{- a}^{a} f (x) d x = 0

Parity of

t^{3} :

Odd

= 0

\frac{d}{d x} (2 x^{3} - 4 x + 5)

d er i v a t i v e \frac{t}{t - 1}

(1 + cos (t)) y^{^{'}} = (1 + e - y) sin (t)

y^{^{''}} + 4 y = 8 tan (2 x)

y^{^{''}} + 2 y = - 18 x^{2} e^{2 x}