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Popular >

integral from 1 to e of (-3/x+2)

Solution

\int_{1}^{e} (- \frac{3}{x} + 2) d x

Solution

2 e - 5

+1

Decimal Notation

0.43656 \dots

Solution steps

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

\int_{1}^{e} \frac{3}{x} d x = 3

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

= - 3 + 2 e - 2

Simplify

= 2 e - 5

Popular Examples

integral from-a to a of (a^2-x^2)^2

\int_{- a}^{a} (a^{2} - x^{2})^{2} d x

integral from-2 to-1 of 1+x^3

\int_{- 2}^{- 1} 1 + x^{3} d x

integral from-1 to 1 of x^4-1

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

integral from 4x to 4 of e^{-y^2}

\int_{4 x}^{4} e^{- y^{2}} d y

integral from 3 to 3.5 of 2x^2

\int_{3}^{3.5} 2 x^{2} d x

Frequently Asked Questions (FAQ)

What is the integral from 1 to e of (-3/x+2) ?
The integral from 1 to e of (-3/x+2) is 2e-5