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Popular >

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

Solution

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

Solution

2 y^{2} + 4

Solution steps

\int_{1}^{3} x + y^{2} d x

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}^{3} y^{2} d x + \int_{1}^{3} x d x

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

\int_{1}^{3} x d x = 4

= 2 y^{2} + 4

Popular Examples

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\int_{2}^{6} \frac{x}{x - 2} d x

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

integral from 3 to infinity of 6/(x^3)

\int_{3}^{\infty} \frac{6}{x ^{3}} d x

integral from-1 to 1 of (1)

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

integral from 0 to pi/3 of 6sec^2(x)

\int_{0}^{\frac{π}{3}} 6 sec^{2} (x) d x

Frequently Asked Questions (FAQ)

What is the integral from 1 to 3 of (x+y^2) ?
The integral from 1 to 3 of (x+y^2) is 2y^2+4