Evaluate
x^{2}+1
Differentiate w.r.t. x
2x
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\int x^{2}+1\mathrm{d}t
Evaluate the indefinite integral first.
\left(x^{2}+1\right)t
Find the integral of x^{2}+1 using the table of common integrals rule \int a\mathrm{d}t=at.
\left(x^{2}+1\right)\times 1-\left(x^{2}+1\right)\times 0
The definite integral is the antiderivative of the expression evaluated at the upper limit of integration minus the antiderivative evaluated at the lower limit of integration.
x^{2}+1
Simplify.
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