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Popular >

integral of 5x+1

Solution

\int 5 x + 1 d x

Solution

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

Solution steps

\int 5 x + 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 5 x d x + \int 1 d x

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

\int 1 d x = x

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

Add a constant to the solution

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

Graph

Popular Examples

tangent of 2x^2+x-1,\at x=1 tangent of

2 x^{2} + x - 1, at x = 1

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\int \frac{x ^{2}}{( 10 - x ) ( 10 + x )} d x

integral of sin^3(xco)s^{10}x

\int sin^{3} (x co) s^{10} x d x

derivative of 1/(a+bx+cx^2+0.003)

\frac{d}{d x} (\frac{1}{a + b x + c x ^{2}} + 0.003)

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

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

Frequently Asked Questions (FAQ)

What is the integral of 5x+1 ?
The integral of 5x+1 is (5x^2)/2+x+C