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Popular >

integral of x/2+1

Solution

\int \frac{x}{2} + 1 d x

Solution

\frac{x ^{2}}{4} + x + C

Solution steps

\int \frac{x}{2} + 1 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 \frac{x}{2} d x + \int 1 d x

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

\int 1 d x = x

= \frac{x ^{2}}{4} + x

Add a constant to the solution

= \frac{x ^{2}}{4} + x + C

Popular Examples

integral of x^6-x^4

\int x^{6} - x^{4} d x

(\partial)/(\partial z)(xsin(z))

\frac{\partial}{\partial z} (x sin (z))

integral of ((t+1))/t

\int \frac{( t + 1 )}{t} d t

y^{^{''}} + k y = 0

derivative of f(x)=4e^x-x^3 derivative of

f (x) = 4 e^{x} - x^{3}

Frequently Asked Questions (FAQ)

What is the integral of x/2+1 ?
The integral of x/2+1 is (x^2)/4+x+C