Solve any maths problem

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1. \int_{0}^{10} 1962000.0 - 196200.0 z\, dz

   First find an antiderivative F, then evaluate F(b) − F(a).

2. \int 1962000.0 - 196200.0 z\, dz = \int 1962000.0\, dz + \int - 196200.0 z\, dz

   The integral of a sum is the sum of the integrals.

3. \int 1962000.0\, dz = 1962000.0 z

   The integral of a constant c is c·x.

4. \int - 196200.0 z\, dz = -196200.0 \int z\, dz

   Pull the constant -196200.0 out of the integral.

5. \int z\, dz = \frac{z^{2}}{2}

   Power rule: ∫xⁿ dx = xⁿ⁺¹/(n+1) (n ≠ −1).

6. F(10) - F(0) = \left(9810000.0\right) - \left(0\right)

   Fundamental theorem of calculus: plug in the limits.

7. = 9810000.0

   Simplify.