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Popular >

integral of 1/(10+x)

Solution

\int \frac{1}{10 + x} d x

Solution

ln ∣ 10 + x ∣ + C

Solution steps

\int \frac{1}{10 + x} d x

Apply u-substitution

: \int \frac{1}{u} d u

= \int \frac{1}{u} d u

Use the common integral:

\int \frac{1}{u} d u = ln (∣ u ∣)

= ln ∣ u ∣

Substitute back

u = 10 + x

= ln ∣ 10 + x ∣

Add a constant to the solution

= ln ∣ 10 + x ∣ + C

Graph

Popular Examples

integral of ((x^2+x))/(x(x-1)^2)

\int \frac{( x ^{2} + x )}{x ( x - 1 ) ^{2}} d x

integral of cos(2/3)x

\int cos (\frac{2}{3}) x d x

integral of ((2x+5))/(x^2-4x+7)

\int \frac{( 2 x + 5 )}{x ^{2} - 4 x + 7} d x

integral of (4x^3)/(x^4)

\int \frac{4 x ^{3}}{x ^{4}} d x

integral of (x+4)^4

\int (x + 4)^{4} d x

Frequently Asked Questions (FAQ)

What is the integral of 1/(10+x) ?
The integral of 1/(10+x) is ln|10+x|+C