en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of (4x-3)5

Solution

\int (4 x - 3) 5 d x

Solution

5 (2 x^{2} - 3 x) + C

Solution steps

\int (4 x - 3) \cdot 5 d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 5 \cdot \int 4 x - 3 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

= 5 (\int 4 x d x - \int 3 d x)

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

\int 3 d x = 3 x

= 5 (2 x^{2} - 3 x)

Add a constant to the solution

= 5 (2 x^{2} - 3 x) + C

Popular Examples

integral from-2 to 6 of 4x-x^2-12

\int_{- 2}^{6} 4 x - x^{2} - 12 d x

derivative of 3x^2e^x+e^x(x^3+7)derivative of

3 x^{2} e^{x} + e^{x} (x^{3} + 7)

tangent of f(x)=x^2+x,\at x=-3 tangent of

f (x) = x^{2} + x, at x = - 3

y^{^{'}} + y = cos (t)

limit as x approaches-infinity of 3

x \to - \infty lim (3)

Frequently Asked Questions (FAQ)

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