What is the integral of (5x^3-3x^2-4x+50) ?

The integral of (5x^3-3x^2-4x+50) is (5x^4)/4-x^3-2x^2+50x+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of (5x^3-3x^2-4x+50)

\int (5 x^{3} - 3 x^{2} - 4 x + 50) d x

\frac{5 x ^{4}}{4} - x^{3} - 2 x^{2} + 50 x + C

Solution steps

\int 5 x^{3} - 3 x^{2} - 4 x + 50 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 5 x^{3} d x - \int 3 x^{2} d x - \int 4 x d x + \int 50 d x

\int 5 x^{3} d x = \frac{5 x ^{4}}{4}

\int 3 x^{2} d x = x^{3}

\int 4 x d x = 2 x^{2}

\int 50 d x = 50 x

= \frac{5 x ^{4}}{4} - x^{3} - 2 x^{2} + 50 x

Add a constant to the solution

= \frac{5 x ^{4}}{4} - x^{3} - 2 x^{2} + 50 x + C

\int 2 x^{2} - 8 d x

f (x) = \frac{4}{x - 3}, at x = 1

\int_{1}^{4} t (1 + t) d t

\int \frac{1}{- x ^{2} - 12 x} d x

\frac{d}{d x} (x^{2} + 2 y)

What is the integral of (5x^3-3x^2-4x+50) ?
The integral of (5x^3-3x^2-4x+50) is (5x^4)/4-x^3-2x^2+50x+C