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Popular >

integral of x^2+7

Solution

\int x^{2} + 7 d x

Solution

\frac{x ^{3}}{3} + 7 x + C

Solution steps

\int x^{2} + 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^{2} d x + \int 7 d x

\int x^{2} d x = \frac{x ^{3}}{3}

\int 7 d x = 7 x

= \frac{x ^{3}}{3} + 7 x

Add a constant to the solution

= \frac{x ^{3}}{3} + 7 x + C

Popular Examples

y^{''}=-3y-2y^',y(0)=1,y^'(0)=0

y^{^{''}} = - 3 y - 2 y^{^{'}}, y (0) = 1, y^{^{'}} (0) = 0

integral of 4/(1+x^2)

\int \frac{4}{1 + x ^{2}} d x

3y^'-2y=e^{-pi/2}

3 y^{^{'}} - 2 y = e^{- \frac{π}{2}}

derivative of y=x^{2cos(x)}derivative of

y = x^{2 c o s (x)}

derivative of 3-|x-3|

\frac{d}{d x} (3 - ∣ x - 3 ∣)

Frequently Asked Questions (FAQ)

What is the integral of x^2+7 ?
The integral of x^2+7 is (x^3)/3+7x+C