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How to use it?
- Integral of d{x}:
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Integral of e^x
- Integral of 1/sin(x)
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Integral of 4dx
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Integral of cos^37x
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Identical expressions
- (7x- fifteen)/(x^ three + two x^2+5x)
- (7x minus 15) divide by (x cubed plus 2x squared plus 5x)
- (7x minus fifteen) divide by (x to the power of three plus two x squared plus 5x)
- (7x-15)/(x3+2x2+5x)
- 7x-15/x3+2x2+5x
- (7x-15)/(x³+2x²+5x)
- (7x-15)/(x to the power of 3+2x to the power of 2+5x)
- 7x-15/x^3+2x^2+5x
- (7x-15) divide by (x^3+2x^2+5x)
- (7x-15)/(x^3+2x^2+5x)dx
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Similar expressions
- (7x-15)/(x^3+2x^2-5x)
- (7x+15)/(x^3+2x^2+5x)
- (7x-15)/(x^3-2x^2+5x)
Integral of (7x-15)/(x^3+2x^2+5x) dx
The solution
You have entered
[src]
1 / | | 7*x - 15 | --------------- dx | 3 2 | x + 2*x + 5*x | / 0
$$\int\limits_{0}^{1} \frac{7 x - 15}{x^{3} + 2 x^{2} + 5 x}\, dx$$
Integral((7*x - 1*15)/(x^3 + 2*x^2 + 5*x), (x, 0, 1))
The answer (Indefinite)
[src]
/ | / 2 \ | 7*x - 15 /1 x\ 3*log\5 + x + 2*x/ | --------------- dx = C - 3*log(x) + 5*atan|- + -| + ------------------- | 3 2 \2 2/ 2 | x + 2*x + 5*x | /
$${{3\,\log \left(x^2+2\,x+5\right)}\over{2}}+5\,\arctan \left({{2\,x
+2}\over{4}}\right)-3\,\log x$$
Use the examples entering the upper and lower limits of integration.