What is the integral from 0 to y of cos(x/y) ?

The integral from 0 to y of cos(x/y) is ycos(x/y)

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integral from 0 to y of cos(x/y)

\int_{0}^{y} cos (\frac{x}{y}) d z

y cos (\frac{x}{y})

Solution steps

\int_{0}^{y} cos (\frac{x}{y}) d z

Integral of a constant:

\int a d x = a x

= [cos (\frac{x}{y}) z]_{0}^{y}

Compute the boundaries:

y cos (\frac{x}{y})

= y cos (\frac{x}{y})

\int_{0}^{1} \frac{1}{1 + x ^{3}} d x

\int_{0}^{1} \frac{x ^{2}}{3} d x

\int_{2 y}^{2} 1 d x

\int_{- 2}^{4} \frac{1}{x} d x

\int_{4.2}^{9.9} (12 x^{2} - 6 x + 4) d x

What is the integral from 0 to y of cos(x/y) ?
The integral from 0 to y of cos(x/y) is ycos(x/y)