The integral of x^x can not be expressed using elementary functions. In fact, this is true about many integrals.
x integration 0 x integration x siny/ydydx
∫ ax dx = ax/ln(a) + C C is the constant of integration.
The integral of (-e^x) with respect to (x) is (-e^x + C), where (C) is the constant of integration. This represents the family of functions whose derivative is (-e^x).
It is cosh(x) + c where c is a constant of integration.
Integration by Parts is a special method of integration that is often useful when two functions.
∫ ex dx = ex + CC is the constant of integration.
x integration 0 x integration x siny/ydydx
∫ ax dx = ax/ln(a) + C C is the constant of integration.
The integration formulas covered in the second PUC syllabus primarily include basic integration techniques such as integration of power functions, trigonometric functions, exponential functions, and logarithmic functions. Key formulas include ∫ x^n dx = (x^(n+1))/(n+1) + C for n ≠ -1, ∫ sin(x) dx = -cos(x) + C, and ∫ e^x dx = e^x + C. Additionally, students learn about integration by substitution and integration by parts. Understanding these fundamental formulas is essential for solving various problems in calculus.
Integration for inverse tangent of square x
The integral of (-e^x) with respect to (x) is (-e^x + C), where (C) is the constant of integration. This represents the family of functions whose derivative is (-e^x).
Apparently that can't be solved with a finite number of so-called "elementary functions". You can get the beginning of the series expansion here: http://www.wolframalpha.com/input/?i=integrate+x^x
It is cosh(x) + c where c is a constant of integration.
Integration by Parts is a special method of integration that is often useful when two functions.
Assuming integration is with respect to a variable, x, the answer is 34x + c where c is the constant of integration.
Commercial meters will multiply voltage x current x time x power factor. Since the voltage and the current change over time, this is really an integration.
∫ xn dx = xn+1/(n+1) + C (n ≠-1) C is the constant of integration.