What is the integral from a to b of 1 ?

The integral from a to b of 1 is b-a

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integral from a to b of 1

\int_{a}^{b} 1 d x

b - a

Solution steps

\int_{a}^{b} 1 d x

Integral of a constant:

\int a d x = a x

= [1 \cdot x]_{a}^{b}

Simplify

= [x]_{a}^{b}

Compute the boundaries:

b - a

= b - a

\frac{d r}{d t} = - 2 t r

\frac{6}{s ^{2} + 4}

\int_{2}^{4} (2 - x^{2}) - (10 - 6 x) d x

y^{^{''}} - 3 y^{^{'}} + 2 y = e^{2 x}

\frac{\partial}{\partial h} (\frac{A}{h + 5 h})