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Popular >

integral of 2+x

Solution

\int 2 + x d x

Solution

2 x + \frac{x ^{2}}{2} + C

Solution steps

\int 2 + 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 2 d x + \int x d x

\int 2 d x = 2 x

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

= 2 x + \frac{x ^{2}}{2}

Add a constant to the solution

= 2 x + \frac{x ^{2}}{2} + C

Popular Examples

tangent of y=-x^3,(-1,1)tangent of

y = - x^{3}, (- 1, 1)

derivative of y=(x+3)/(x^3+x-1)derivative of

y = \frac{x + 3}{x ^{3} + x - 1}

(\partial)/(\partial x)(sqrt(14-x^2-4xy))

\frac{\partial}{\partial x} (14 - x^{2} - 4 x y)

integral of x^2sqrt(8x-7)

\int x^{2} 8 x - 7 d x

integral from 1 to 5 of x/(e^x)

\int_{1}^{5} \frac{x}{e ^{x}} d x

Frequently Asked Questions (FAQ)

What is the integral of 2+x ?
The integral of 2+x is 2x+(x^2)/2+C