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Popular >

integral from 1 to 2 of (x-3y^2)

Solution

\int_{1}^{2} (x - 3 y^{2}) d y

Solution

x - 7

Solution steps

\int_{1}^{2} x - 3 y^{2} 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_{1}^{2} x d y - \int_{1}^{2} 3 y^{2} d y

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

\int_{1}^{2} 3 y^{2} d y = 7

= x - 7

Popular Examples

integral from 0 to 1/2 of 2x^2+x

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

integral from-2 to 2 of (sqrt(4-x^2))^3

\int_{- 2}^{2} (4 - x^{2})^{3} d x

integral from 0 to 1 of sqrt(1-x^2)x^2

\int_{0}^{1} 1 - x^{2} x^{2} d x

integral from 1 to 2 of (1-3x+2x^2)

\int_{1}^{2} (1 - 3 x + 2 x^{2}) d x

integral from-1 to 2 of (3x-x^2)

\int_{- 1}^{2} (3 x - x^{2}) d x

Frequently Asked Questions (FAQ)

What is the integral from 1 to 2 of (x-3y^2) ?
The integral from 1 to 2 of (x-3y^2) is x-7