What is the integral of 7/x+9sqrt(x) ?

The integral of 7/x+9sqrt(x) is 7ln|x|+6x^{3/2}+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 7/x+9sqrt(x)

\int \frac{7}{x} + 9 x d x

7 ln ∣ x ∣ + 6 x^{\frac{3}{2}} + C

Solution steps

\int \frac{7}{x} + 9 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 \frac{7}{x} d x + \int 9 x d x

\int \frac{7}{x} d x = 7 ln ∣ x ∣

\int 9 x d x = 6 x^{\frac{3}{2}}

= 7 ln ∣ x ∣ + 6 x^{\frac{3}{2}}

Add a constant to the solution

= 7 ln ∣ x ∣ + 6 x^{\frac{3}{2}} + C

\int (x^{2} + 3 x + 2) d x

\int (x \cdot sin (x^{2})) d x

\int a^{t a n (θ)} sec^{2} (θ) d θ

\int 3 x sin (3 x + 1) d x

\int 3 e^{0.06 x} d x

What is the integral of 7/x+9sqrt(x) ?
The integral of 7/x+9sqrt(x) is 7ln|x|+6x^{3/2}+C