What is the integral from 0 to 1 of (x^{14}+14^x) ?

The integral from 0 to 1 of (x^{14}+14^x) is 1/15+(13)/(ln(14))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 0 to 1 of (x^{14}+14^x)

\int_{0}^{1} (x^{14} + 1 4^{x}) d x

\frac{1}{15} + \frac{13}{ln ( 14 )}

Decimal Notation

4.99266 \dots

Solution steps

\int_{0}^{1} x^{14} + 1 4^{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_{0}^{1} x^{14} d x + \int_{0}^{1} 1 4^{x} d x

\int_{0}^{1} x^{14} d x = \frac{1}{15}

\int_{0}^{1} 1 4^{x} d x = \frac{13}{ln ( 14 )}

= \frac{1}{15} + \frac{13}{ln ( 14 )}

\int_{1}^{64} x^{- \frac{5}{6}} d x

\int_{- 2}^{5} (x^{2} - 3 x - 10) d x

\int_{0}^{l n (4)} e^{2 x} d x

\int_{- 2}^{2} (∣ x ∣ + x) e^{- ∣ x ∣} d x

\int_{0}^{1} 5^{3 x} d x

What is the integral from 0 to 1 of (x^{14}+14^x) ?
The integral from 0 to 1 of (x^{14}+14^x) is 1/15+(13)/(ln(14))