What is the integral from 0 to 10 of-6.4(0.9^x) ?

The integral from 0 to 10 of-6.4(0.9^x) is -39.56375…

Popular >

integral from 0 to 10 of-6.4(0.9^x)

\int_{0}^{10} - 6.4 (0. 9^{x}) d x

- 39.56375 \dots

Solution steps

\int_{0}^{10} - 6.4 \cdot 0. 9^{x} d x

Take the constant out:

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

= - 6.4 \cdot \int_{0}^{10} 0. 9^{x} d x

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

= - 6.4 [\frac{0. 9 ^{x}}{ln ( 0.9 )}]_{0}^{10}

\frac{0. 9 ^{x}}{ln ( 0.9 )} = - 9.49122 \dots \cdot 0. 9^{x}

= - 6.4 [- 9.49122 \dots \cdot 0. 9^{x}]_{0}^{10}

Compute the boundaries:

6.18183 \dots

= - 6.4 \cdot 6.18183 \dots

Simplify

= - 39.56375 \dots

\int_{1}^{y} \frac{2}{y ^{3}} d y

\int_{0}^{3} (6 - 2 x) d x

\int_{0}^{1} x^{\frac{1}{3}} - x^{\frac{1}{2}} d x

\int_{2}^{3} (x + 4) d x

\int_{- 4}^{4} (π) d x

What is the integral from 0 to 10 of-6.4(0.9^x) ?
The integral from 0 to 10 of-6.4(0.9^x) is -39.56375…