Solve ∫ (3^2*10)^2=

$$\int ( 3 ^ { 2 } \times 10 ) ^ { 2 } =$$

Evaluate

$$8100x+С$$

Solution Steps

Calculate 3 to the power of 2 and get 9.

$$\int \left(9\times 10\right)^{2}\mathrm{d}x$$

Multiply 9 and 10 to get 90.

$$\int 90^{2}\mathrm{d}x$$

Calculate 90 to the power of 2 and get 8100.

$$\int 8100\mathrm{d}x$$

Find the integral of 8100 using the table of common integrals rule \int a\mathrm{d}x=ax.

$$8100x$$

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.

$$8100x+С$$

Differentiate w.r.t. x

$$8100$$