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Popular >

integral of x+7

Solution

\int x + 7 d x

Solution

\frac{x ^{2}}{2} + 7 x + C

Solution steps

\int x + 7 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 x d x + \int 7 d x

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

\int 7 d x = 7 x

= \frac{x ^{2}}{2} + 7 x

Add a constant to the solution

= \frac{x ^{2}}{2} + 7 x + C

Popular Examples

derivative of 2x^3-3x^2-72x+108 derivative of

2 x^{3} - 3 x^{2} - 72 x + 108

derivative of ln(((4-x))/(4+x))derivative of

ln (\frac{( 4 - x )}{4 + x})

integral of 2/(x+1)

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

y^'=(xy^2-0.5sin(2x))/(y(1-x^2)),y(0)=2

y^{^{'}} = \frac{x y ^{2} - 0.5 sin ( 2 x )}{y ( 1 - x ^{2} )}, y (0) = 2

y^'=(t+y)^2-1,y(2)=6

y^{^{'}} = (t + y)^{2} - 1, y (2) = 6

Frequently Asked Questions (FAQ)

What is the integral of x+7 ?
The integral of x+7 is (x^2)/2+7x+C