Mister Exam
Other calculators
- Improper integral
- Double Integral
- Triple Integral
- Curvilinear integral
- Derivative Step by Step
- Differential equations Step by Step
- Limits Step by Step
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How to use it?
- Integral of d{x}:
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Integral of x^2*e^3x
- Integral of x*atan(x)/sqrt(1+x^3)
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Integral of x^2*e^(x/2)*dx
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Integral of x^2*(9-x^2)^(-1/2)
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Identical expressions
- t^ two /sqrt(t+ one)
- t squared divide by square root of (t plus 1)
- t to the power of two divide by square root of (t plus one)
- t^2/√(t+1)
- t2/sqrt(t+1)
- t2/sqrtt+1
- t²/sqrt(t+1)
- t to the power of 2/sqrt(t+1)
- t^2/sqrtt+1
- t^2 divide by sqrt(t+1)
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Similar expressions
- t^2/sqrt(t-1)
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What you mean?
- t^2/(sqrt(t + 1))
- t^2/(sqrt(t) + 1)
- t^2*(t + 1)/(sqrt(t))
- t*2/sqrt(t + 1)
- t*2/(sqrt(t) + 1)
- t*2*(t + 1)/sqrt(t)
- t^2*(t + 1)/(sqrt(t))
You entered:
t^2/sqrt(t+1)
What you mean?
Integral of t^2/sqrt(t+1) dt
The solution
You have entered
[src]
1 / | | 2 | t | --------- dt | _______ | \/ t + 1 | / 0
$$\int\limits_{0}^{1} \frac{t^{2}}{\sqrt{t + 1}}\, dt$$
Integral(t^2/(sqrt(t + 1)), (t, 0, 1))
The answer (Indefinite)
[src]
/ | | 2 3/2 5/2 | t _______ 4*(1 + t) 2*(1 + t) | --------- dt = C + 2*\/ 1 + t - ------------ + ------------ | _______ 3 5 | \/ t + 1 | /
$${{2\,\left(t+1\right)^{{{5}\over{2}}}}\over{5}}-{{4\,\left(t+1
\right)^{{{3}\over{2}}}}\over{3}}+2\,\sqrt{t+1}$$
The graph
The answer
[src]
___ 16 14*\/ 2 - -- + -------- 15 15
$${{7\,2^{{{3}\over{2}}}}\over{15}}-{{16}\over{15}}$$
=
=
___ 16 14*\/ 2 - -- + -------- 15 15
$$- \frac{16}{15} + \frac{14 \sqrt{2}}{15}$$
The graph
Use the examples entering the upper and lower limits of integration.