Mister Exam
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- 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 3x^3
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Integral of (3x+1)^5
- Integral of (sin(sqrt(x)+a)*e^sqrt(x))/sqrt(x)
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Integral of tan^2(5x)
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Identical expressions
- (sin(sqrt(x)+a)*e^sqrt(x))/sqrt(x)
- ( sinus of ( square root of (x) plus a) multiply by e to the power of square root of (x)) divide by square root of (x)
- (sin(√(x)+a)*e^√(x))/√(x)
- (sin(sqrt(x)+a)*esqrt(x))/sqrt(x)
- sinsqrtx+a*esqrtx/sqrtx
- (sin(sqrt(x)+a)e^sqrt(x))/sqrt(x)
- (sin(sqrt(x)+a)esqrt(x))/sqrt(x)
- sinsqrtx+aesqrtx/sqrtx
- sinsqrtx+ae^sqrtx/sqrtx
- (sin(sqrt(x)+a)*e^sqrt(x)) divide by sqrt(x)
- (sin(sqrt(x)+a)*e^sqrt(x))/sqrt(x)dx
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Similar expressions
- (sin(sqrt(x)-a)*e^sqrt(x))/sqrt(x)
Integral of (sin(sqrt(x)+a)*e^sqrt(x))/sqrt(x) dx
The solution
You have entered
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1 / | | ___ | / ___ \ \/ x | sin\\/ x + a/*e | --------------------- dx | ___ | \/ x | / 0
$$\int\limits_{0}^{1} \frac{e^{\sqrt{x}} \sin{\left(a + \sqrt{x} \right)}}{\sqrt{x}}\, dx$$
The answer (Indefinite)
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/ | | ___ | / ___ \ \/ x ___ ___ | sin\\/ x + a/*e \/ x / ___\ / ___\ \/ x | --------------------- dx = C + e *sin\a + \/ x / - cos\a + \/ x /*e | ___ | \/ x | /
$$\left(\sin \left(\sqrt{x}+a\right)-\cos \left(\sqrt{x}+a\right)
\right)\,e^{\sqrt{x}}$$
The answer
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-sin(a) + e*sin(1 + a) - e*cos(1 + a) + cos(a)
$$\left(e\,\sin 1+e\,\cos 1-1\right)\,\sin a+\left(e\,\sin 1-e\,\cos
1+1\right)\,\cos a$$
=
=
-sin(a) + e*sin(1 + a) - e*cos(1 + a) + cos(a)
$$- \sin{\left(a \right)} + e \sin{\left(a + 1 \right)} + \cos{\left(a \right)} - e \cos{\left(a + 1 \right)}$$
Use the examples entering the upper and lower limits of integration.