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Popular >

integral from 1 to 3 of (x^2+5)

Solution

\int_{1}^{3} (x^{2} + 5) d x

Solution

\frac{56}{3}

+1

Solution steps

\int_{1}^{3} x^{2} + 5 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} x^{2} d x + \int_{1}^{3} 5 d x

\int_{1}^{3} x^{2} d x = \frac{26}{3}

\int_{1}^{3} 5 d x = 10

= \frac{26}{3} + 10

Simplify

\frac{26}{3} + 10 : \frac{56}{3}

= \frac{56}{3}

Popular Examples

integral from 1 to 2 of f(2x)

\int_{1}^{2} f (2 x) d x

integral from 0 to 4 of sqrt(x)(x+1)

\int_{0}^{4} x (x + 1) d x

integral from pi/6 to pi/3 of 1/(sin(x))

\int_{\frac{π}{6}}^{\frac{π}{3}} \frac{1}{sin ( x )} d x

integral from 3 to 4 of x-3

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

integral from-1 to 2 of xsqrt(2+x)

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

Frequently Asked Questions (FAQ)

What is the integral from 1 to 3 of (x^2+5) ?
The integral from 1 to 3 of (x^2+5) is 56/3