What is the integral from-3 to 3 of sqrt(7+2t^2)(8t) ?

The integral from-3 to 3 of sqrt(7+2t^2)(8t) is 0

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integral from-3 to 3 of sqrt(7+2t^2)(8t)

\int_{- 3}^{3} 7 + 2 t^{2} (8 t) d t

0

Solution steps

\int_{- 3}^{3} 7 + 2 t^{2} \cdot 8 t 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

7 + 2 t^{2} 8 t :

Odd

= 0

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What is the integral from-3 to 3 of sqrt(7+2t^2)(8t) ?
The integral from-3 to 3 of sqrt(7+2t^2)(8t) is 0