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- Improper integral
- Double Integral
- Triple Integral
- Curvilinear integral
- Derivative Step by Step
- Differential equations Step by Step
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How to use it?
- Integral of d{x}:
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Integral of (4x-x^2)dx
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Integral of (2x+1)^3
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Integral of x^5*dx
- Integral of x/(x^3-3x+2)
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Identical expressions
- (ln(six -x)+ four /sqrtx)
- (ln(6 minus x) plus 4 divide by square root of x)
- (ln(six minus x) plus four divide by square root of x)
- (ln(6-x)+4/√x)
- ln6-x+4/sqrtx
- (ln(6-x)+4 divide by sqrtx)
- (ln(6-x)+4/sqrtx)dx
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Similar expressions
- (ln(6+x)+4/sqrtx)
- (ln(6-x)-4/sqrtx)
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What you mean?
- (log(6 - x) + 4)/(sqrt(x))
- (log(6 - x) + 4)*x/(sqrt(x))
- log(6 - x + 4)/(sqrt(x))
- log(6 - x + 4)*x/(sqrt(x))
- log(6 - x + 4)/(sqrt(x))
- log(6 - x + 4)*x/(sqrt(x))
- log(6 - x) + 4*x/(sqrt(x))
You entered:
(ln(6-x)+4/sqrtx)
What you mean?
Integral of (ln(6-x)+4/sqrtx) dx
The solution
You have entered
[src]
7 / | | / 4 \ | |log(6 - x) + -----| dx | | ___| | \ \/ x / | / 2
$$\int\limits_{2}^{7} \left(\log{\left(6 - x \right)} + \frac{4}{\sqrt{x}}\right)\, dx$$
Integral(log(6 - x) + 4/(sqrt(x)), (x, 2, 7))
The answer (Indefinite)
[src]
/ | | / 4 \ ___ | |log(6 - x) + -----| dx = 6 + C - x + 8*\/ x - (6 - x)*log(6 - x) | | ___| | \ \/ x / | /
$$-x-\log \left(6-x\right)\,\left(6-x\right)+8\,\sqrt{x}+6$$
The graph
The answer
[src]
___ ___ -5 - 8*\/ 2 + 4*log(4) + 8*\/ 7 + pi*I
$$4\,\log 4+\log \left(-1\right)+8\,\sqrt{7}-2^{{{7}\over{2}}}-5$$
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___ ___ -5 - 8*\/ 2 + 4*log(4) + 8*\/ 7 + pi*I
$$- 8 \sqrt{2} - 5 + 4 \log{\left(4 \right)} + 8 \sqrt{7} + i \pi$$
Numerical answer
[src]
(10.4248628623316 + 3.12756428922388j)
(10.4248628623316 + 3.12756428922388j)
The graph
Use the examples entering the upper and lower limits of integration.