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Popular >

integral of 4x+8

Solution

\int 4 x + 8 d x

Solution

2 x^{2} + 8 x + C

Solution steps

\int 4 x + 8 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 4 x d x + \int 8 d x

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

\int 8 d x = 8 x

= 2 x^{2} + 8 x

Add a constant to the solution

= 2 x^{2} + 8 x + C

Popular Examples

integral of (200)/(t^2+3t+2)

\int \frac{200}{t ^{2} + 3 t + 2} d t

(dy)/(dx)=xsqrt(x-12)

\frac{d y}{d x} = x x - 12

integral of (3x^3)/(sqrt(5-9x^4))

\int \frac{3 x ^{3}}{5 - 9 x ^{4}} d x

integral of (x^2+6x+2)/(x^3+9x^2+6x+3)

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

tangent of-3cos(x),\at x=-pi/3 tangent of

- 3 cos (x), at x = - \frac{π}{3}

Frequently Asked Questions (FAQ)

What is the integral of 4x+8 ?
The integral of 4x+8 is 2x^2+8x+C