What is the integral from-4 to 4 of-e^{(1/4)x} ?

The integral from-4 to 4 of-e^{(1/4)x} is -4(e-1/e)

Popular >

integral from-4 to 4 of-e^{(1/4)x}

\int_{- 4}^{4} - e^{(\frac{1}{4}) x} d x

- 4 (e - \frac{1}{e})

Decimal

- 9.40160 \dots

Solution steps

\int_{- 4}^{4} - e^{\frac{1}{4} x} d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= - \int_{- 4}^{4} e^{\frac{1}{4} x} d x

Apply u-substitution

: \int_{- 1}^{1} e^{u} \cdot 4 d u

= - \int_{- 1}^{1} e^{u} \cdot 4 d u

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= - 4 \cdot \int_{- 1}^{1} e^{u} d u

Use the common integral:

\int e^{u} d u = e^{u}

= - 4 [e^{u}]_{- 1}^{1}

Compute the boundaries:

e - \frac{1}{e}

= - 4 (e - \frac{1}{e})

\int_{4}^{8} 10 - x d x

\int_{0}^{2} 4 x^{2} + 1 d x

\int_{- 2}^{0} 4 x - x^{2} - 6 x d x

\int_{1}^{4} \frac{x - 9}{x} d x

\int_{0}^{16} (x - 3) d x

What is the integral from-4 to 4 of-e^{(1/4)x} ?
The integral from-4 to 4 of-e^{(1/4)x} is -4(e-1/e)