What is the integral of (5x^2-5sin(x)) ?

The integral of (5x^2-5sin(x)) is (5x^3)/3+5cos(x)+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of (5x^2-5sin(x))

\int (5 x^{2} - 5 sin (x)) d x

\frac{5 x ^{3}}{3} + 5 cos (x) + C

Solution steps

\int 5 x^{2} - 5 sin (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 5 x^{2} d x - \int 5 sin (x) d x

\int 5 x^{2} d x = \frac{5 x ^{3}}{3}

\int 5 sin (x) d x = - 5 cos (x)

= \frac{5 x ^{3}}{3} - (- 5 cos (x))

Simplify

= \frac{5 x ^{3}}{3} + 5 cos (x)

Add a constant to the solution

= \frac{5 x ^{3}}{3} + 5 cos (x) + C

\frac{d}{d x} (sinh (2 x))

\int 4 cos (4 x) d x

x \to 1 + lim ((x - 1)^{(x - 1)})

\frac{4 - 2 x - x ^{2}}{x ^{2} - 6}

B (x - 2)^{3}

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