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Popular >

integral from 1 to 6 of 2x+1/x

Solution

\int_{1}^{6} 2 x + \frac{1}{x} d x

Solution

35 + ln (6)

+1

Decimal

36.79175 \dots

Solution steps

\int_{1}^{6} 2 x + \frac{1}{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_{1}^{6} 2 x d x + \int_{1}^{6} \frac{1}{x} d x

\int_{1}^{6} 2 x d x = 35

\int_{1}^{6} \frac{1}{x} d x = ln (6)

= 35 + ln (6)

Graph

Popular Examples

integral from-pi/6 to pi/6 of 2sec^2(x)

\int_{- \frac{π}{6}}^{\frac{π}{6}} 2 sec^{2} (x) d x

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

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

integral from 2 to 4 of 1/(x-1)

\int_{2}^{4} \frac{1}{x - 1} d x

integral from 0 to 6 of x-3

\int_{0}^{6} x - 3 d x

integral from 0 to 1 of x^2*2x

\int_{0}^{1} x^{2} \cdot 2 x d x

Frequently Asked Questions (FAQ)

What is the integral from 1 to 6 of 2x+1/x ?
The integral from 1 to 6 of 2x+1/x is 35+ln(6)