What is the integral from sqrt(3+4x) to 5x of 1 ?

The integral from sqrt(3+4x) to 5x of 1 is 5x-sqrt(3+4x)

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integral from sqrt(3+4x) to 5x of 1

\int_{3 + 4 x}^{5 x} 1 d x

5 x - 3 + 4 x

Solution steps

\int_{3 + 4 x}^{5 x} 1 d x

Integral of a constant:

\int a d x = a x

= [1 \cdot x]_{3 + 4 x}^{5 x}

Simplify

= [x]_{3 + 4 x}^{5 x}

Compute the boundaries:

5 x - 3 + 4 x

= 5 x - 3 + 4 x

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What is the integral from sqrt(3+4x) to 5x of 1 ?
The integral from sqrt(3+4x) to 5x of 1 is 5x-sqrt(3+4x)