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- Improper integral
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How to use it?
- Integral of d{x}:
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Integral of x*e^(4*x)
- Integral of x/sqrt(x^2-4x+1)
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Integral of x/(x^2-1)^3
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Integral of x*dx
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Identical expressions
- one / one +a*cos(x)
- 1 divide by 1 plus a multiply by co sinus of e of (x)
- one divide by one plus a multiply by co sinus of e of (x)
- 1/1+acos(x)
- 1/1+acosx
- 1 divide by 1+a*cos(x)
- 1/1+a*cos(x)dx
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Similar expressions
- 1/1-a*cos(x)
- x^21/(1+a*cosx)^2
- 1/1+a*cosx
Integral of 1/1+a*cos(x) dx
The solution
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pi / | | (1 + a*cos(x)) dx | / 0
$$\int\limits_{0}^{\pi} \left(a \cos{\left(x \right)} + 1\right)\, dx$$
Integral(1 + a*cos(x), (x, 0, pi))
Detail solution
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Integrate term-by-term:
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The integral of a constant times a function is the constant times the integral of the function:
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The integral of cosine is sine:
So, the result is:
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The integral of a constant is the constant times the variable of integration:
The result is:
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Add the constant of integration:
The answer is:
The answer (Indefinite)
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/ | | (1 + a*cos(x)) dx = C + x + a*sin(x) | /
$$\int \left(a \cos{\left(x \right)} + 1\right)\, dx = C + a \sin{\left(x \right)} + x$$
Use the examples entering the upper and lower limits of integration.