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Popular >

integral of 5x+c

Solution

\int 5 x + c d x

Solution

\frac{5 x ^{2}}{2} + c x + C

Solution steps

\int 5 x + c 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 d x + \int c d x

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

\int c d x = c x

= \frac{5 x ^{2}}{2} + c x

Add a constant to the solution

= \frac{5 x ^{2}}{2} + c x + C

Popular Examples

area y=sqrt(25-x^2),y=0 area

y = 25 - x^{2}, y = 0

integral of sqrt(1+2x^2)(4x)

\int 1 + 2 x^{2} (4 x) d x

integral of (sqrt(x^2-5))/x

\int \frac{x ^{2} - 5}{x} d x

(\partial)/(\partial x)(2y^2)

\frac{\partial}{\partial x} (2 y^{2})

derivative of 2^{1/2}

\frac{d}{d x} (2^{\frac{1}{2}})

Frequently Asked Questions (FAQ)

What is the integral of 5x+c ?
The integral of 5x+c is (5x^2)/2+cx+C