What is the integral from-1 to 1 of x^{1/3}-cos(x) ?

The integral from-1 to 1 of x^{1/3}-cos(x) is -2sin(1)

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integral from-1 to 1 of x^{1/3}-cos(x)

\int_{- 1}^{1} x^{\frac{1}{3}} - cos (x) d x

- 2 sin (1)

Decimal

- 1.68294 \dots

Solution steps

\int_{- 1}^{1} x^{\frac{1}{3}} - cos (x) d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int_{- 1}^{1} x^{\frac{1}{3}} d x - \int_{- 1}^{1} cos (x) d x

\int_{- 1}^{1} x^{\frac{1}{3}} d x = 0

\int_{- 1}^{1} cos (x) d x = 2 sin (1)

= 0 - 2 sin (1)

Simplify

= - 2 sin (1)

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What is the integral from-1 to 1 of x^{1/3}-cos(x) ?
The integral from-1 to 1 of x^{1/3}-cos(x) is -2sin(1)