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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 (2x)/((1+x)^2)

\int \frac{2 x}{( 1 + x ) ^{2}} d x

integral of 3/(t^2)

\int \frac{3}{t ^{2}} d t

(\partial)/(\partial x)(sec^5(x^3y^3))

\frac{\partial}{\partial x} (sec^{5} (x^{3} y^{3}))

derivative of asin(x)+bcos(x)derivative of

a sin (x) + b cos (x)

derivative of f(x)=x+1+1/(x^2)derivative of

f (x) = x + 1 + \frac{1}{x ^{2}}

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