Solve C ( x ) = ∫ (50+003x) wrt x

$$C ( x ) = \int ( 50 + 003 x ) d x$$

Evaluate

$$50x+С$$

Solution Steps

Multiply 0 and 0 to get 0.

$$\int 50+0\times 3x\mathrm{d}x$$

Multiply 0 and 3 to get 0.

$$\int 50+0x\mathrm{d}x$$

Anything times zero gives zero.

$$\int 50+0\mathrm{d}x$$

Add 50 and 0 to get 50.

$$\int 50\mathrm{d}x$$

Find the integral of 50 using the table of common integrals rule \int a\mathrm{d}x=ax.

$$50x$$

If F\left(x\right) is an antiderivative of f\left(x\right), then the set of all antiderivatives of f\left(x\right) is given by F\left(x\right)+C. Therefore, add the constant of integration C\in \mathrm{R} to the result.

$$50x+С$$

Differentiate w.r.t. x

$$50$$