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Popular >

integral from 0 to x of (x+8y)

Solution

\int_{0}^{x} (x + 8 y) d y

Solution

5 x^{2}

Solution steps

\int_{0}^{x} x + 8 y d y

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int_{0}^{x} x d y + \int_{0}^{x} 8 y d y

\int_{0}^{x} x d y = x^{2}

\int_{0}^{x} 8 y d y = 4 x^{2}

= x^{2} + 4 x^{2}

Simplify

= 5 x^{2}

Popular Examples

integral from 0 to 1 of (9-8x^3+16x^7)

\int_{0}^{1} (9 - 8 x^{3} + 16 x^{7}) d x

integral from 0 to pi of 36sin(x)

\int_{0}^{π} 36 sin (x) d x

integral from-1/2 to 1/2 of 0.75(1-x^2)

\int_{- \frac{1}{2}}^{\frac{1}{2}} 0.75 (1 - x^{2}) d x

integral from-8 to 4 of-x^2-3x

\int_{- 8}^{4} - x^{2} - 3 x d x

integral from 1 to 9 of (sqrt(x)-x)/x

\int_{1}^{9} \frac{x - x}{x} d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to x of (x+8y) ?
The integral from 0 to x of (x+8y) is 5x^2