What is the integral of 3x^2+sqrt(2) ?

The integral of 3x^2+sqrt(2) is x^3+sqrt(2)x+C

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integral of 3x^2+sqrt(2)

\int 3 x^{2} + 2 d x

x^{3} + 2 x + C

Solution steps

\int 3 x^{2} + 2 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 3 x^{2} d x + \int 2 d x

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

\int 2 d x = 2 x

= x^{3} + 2 x

Add a constant to the solution

= x^{3} + 2 x + C

\int_{2}^{\infty} \frac{8}{x ^{3}} d x

\frac{1}{x - 1}

\int \frac{10}{x} + \frac{2}{x ^{2}} + \frac{7}{x ^{3}} d x

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

\frac{d}{d x} (cot (3 x^{4} - 2 x^{3} - 3))

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