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- Improper integral
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How to use it?
- Integral of d{x}:
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Integral of 1/(sqrt(4-9x^2))
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Integral of (x^3+2)/(x^2+2x+4)
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Integral of x^2dx/(1+3x)^3
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Integral of -x^2+9x-18
- Derivative of:
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x^2*5^x
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Identical expressions
- x^ two * five ^x
- x squared multiply by 5 to the power of x
- x to the power of two multiply by five to the power of x
- x2*5x
- x²*5^x
- x to the power of 2*5 to the power of x
- x^25^x
- x25x
- x^2*5^xdx
Integral of x^2*5^x dx
The solution
You have entered
[src]
1 / | | 2 x | x *5 dx | / 0
$$\int\limits_{0}^{1} 5^{x} x^{2}\, dx$$
Integral(x^2*5^x, (x, 0, 1))
The answer (Indefinite)
[src]
/ | x / 2 2 \ | 2 x 5 *\2 + x *log (5) - 2*x*log(5)/ | x *5 dx = C + -------------------------------- | 3 / log (5)
$$\int 5^{x} x^{2}\, dx = \frac{5^{x} \left(x^{2} \log{\left(5 \right)}^{2} - 2 x \log{\left(5 \right)} + 2\right)}{\log{\left(5 \right)}^{3}} + C$$
The graph
The answer
[src]
/ 2 \
2 5*\2 + log (5) - 2*log(5)/
- ------- + --------------------------
3 3
log (5) log (5)
$$- \frac{2}{\log{\left(5 \right)}^{3}} + \frac{5 \left(- 2 \log{\left(5 \right)} + 2 + \log{\left(5 \right)}^{2}\right)}{\log{\left(5 \right)}^{3}}$$
=
=
/ 2 \
2 5*\2 + log (5) - 2*log(5)/
- ------- + --------------------------
3 3
log (5) log (5)
$$- \frac{2}{\log{\left(5 \right)}^{3}} + \frac{5 \left(- 2 \log{\left(5 \right)} + 2 + \log{\left(5 \right)}^{2}\right)}{\log{\left(5 \right)}^{3}}$$
-2/log(5)^3 + 5*(2 + log(5)^2 - 2*log(5))/log(5)^3
The graph
Use the examples entering the upper and lower limits of integration.