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Popular >

integral from 1 to 2 of x^2+1

Solution

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

Solution

\frac{10}{3}

+1

Decimal Notation

3.33333 \dots

Solution steps

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

\int_{1}^{2} x^{2} d x = \frac{7}{3}

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

= \frac{7}{3} + 1

Simplify

\frac{7}{3} + 1 : \frac{10}{3}

= \frac{10}{3}

Popular Examples

integral of e^{cx}

\int e^{c x} d x

limit as x approaches 0+of 3/x-3/(|x|)

x \to 0 + lim (\frac{3}{x} - \frac{3}{∣ x ∣})

tangent of y=x^3-3x+2 tangent of

y = x^{3} - 3 x + 2

integral of (sec^4(t))/(tan^3(t))

\int \frac{sec ^{4} ( t )}{tan ^{3} ( t )} d t

derivative of (x^2+3)/(x-1)derivative of

\frac{x ^{2} + 3}{x - 1}

Frequently Asked Questions (FAQ)

What is the integral from 1 to 2 of x^2+1 ?
The integral from 1 to 2 of x^2+1 is 10/3