What is the integral from 1 to 7 of 1 ?

The integral from 1 to 7 of 1 is 6

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integral from 1 to 7 of 1

\int_{1}^{7} 1

6

Solution steps

\int_{1}^{7} 1 d x

Integral of a constant:

\int a d x = a x

= [1 \cdot x]_{1}^{7}

Simplify

= [x]_{1}^{7}

Compute the boundaries:

6

= 6

\int (1 + \frac{( ln ( x ) ) ^{2}}{x}) d x

\int (9 x^{2} - 5 x + 4) d x

\frac{d}{d x} (sin^{2} (2 x) - cos (2 x))

\frac{\partial}{\partial y} (3 x^{2} y^{2} + \frac{x}{y})

x \to 5 lim (4 x + ∣ x - 5 ∣)