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Popular >

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

Solution

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

Solution

\frac{46}{3}

+1

Decimal Notation

15.33333 \dots

Solution steps

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

\int_{1}^{3} 2 x^{2} d x = \frac{52}{3}

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

= \frac{52}{3} - 2

Simplify

\frac{52}{3} - 2 : \frac{46}{3}

= \frac{46}{3}

Popular Examples

integral from-7 to 0 of 5+sqrt(49-x^2)

\int_{- 7}^{0} 5 + 49 - x^{2} d x

integral from-pi to pi of sin(4x)

\int_{- π}^{π} sin (4 x) d x

integral from 0 to sqrt(2 of)x

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

integral from 1 to infinity of 1/(e^x+1)

\int_{1}^{\infty} \frac{1}{e ^{x} + 1} d x

integral from-2 to 5 of h(x)

\int_{- 2}^{5} h (x) d x

Frequently Asked Questions (FAQ)

What is the integral from 1 to 3 of (2x^2-1) ?
The integral from 1 to 3 of (2x^2-1) is 46/3