What is the integral from 0 to 30 of 1.03^x ?

The integral from 0 to 30 of 1.03^x is 48.28553…

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 0 to 30 of 1.03^x

\int_{0}^{30} 1.0 3^{x} d x

48.28553 \dots

Solution steps

\int_{0}^{30} 1.0 3^{x} d x

\int a^{x} d x = \frac{a ^{x}}{ln a}

= [\frac{1.0 3 ^{x}}{ln ( 1.03 )}]_{0}^{30}

\frac{1.0 3 ^{x}}{ln ( 1.03 )} = 33.83087 \dots \cdot 1.0 3^{x}

= [33.83087 \dots \cdot 1.0 3^{x}]_{0}^{30}

Compute the boundaries:

48.28553 \dots

= 48.28553 \dots

\int_{0}^{2 π} - 3 sin^{2} (t) d t

\int_{x}^{\infty} e^{- x y} d y

\int_{0}^{t} cos (2 x) d x

\int_{0}^{1} e^{8 x - 7} d x

\int_{0}^{2} \frac{3}{4} x (2 x - x^{2}) d x

What is the integral from 0 to 30 of 1.03^x ?
The integral from 0 to 30 of 1.03^x is 48.28553…