What is the integral from-1 to 1 of (1+x^4tan(x)) ?

The integral from-1 to 1 of (1+x^4tan(x)) is 2

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integral from-1 to 1 of (1+x^4tan(x))

\int_{- 1}^{1} (1 + x^{4} tan (x)) d x

2

Solution steps

\int_{- 1}^{1} 1 + x^{4} tan (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} 1 d x + \int_{- 1}^{1} x^{4} tan (x) d x

\int_{- 1}^{1} 1 d x = 2

\int_{- 1}^{1} x^{4} tan (x) d x = 0

= 2 + 0

Simplify

= 2

What is the integral from-1 to 1 of (1+x^4tan(x)) ?
The integral from-1 to 1 of (1+x^4tan(x)) is 2