Algebraic Indefinite integration Problems and Solutions
Fact-checked:
In indefinite integration, the algebraic functions are involved. For calculating the indefinite integrals of the algebraic functions, it is important to learn the integral rules of the algebraic functions firstly. The following is the list of indefinite integral problems with solutions to learn how to evaluate the indefinite integration of the algebraic functions by using the integration formulas.
Exponential functions
Evaluate $\displaystyle \int{xe^x \,} dx$
Rational functions
Evaluate $\displaystyle \int{\dfrac{1}{x^2+6x+10}\,\,}dx$
Evaluate $\displaystyle \int{\dfrac{1}{x^2+4x+3} \,} dx$
Irrational functions
Evaluate $\displaystyle \int{\dfrac{1}{x^{\frac{1}{2}}(2+3x)^{\frac{3}{2}}}\,}dx$
Evaluate $\displaystyle \int{\dfrac{x}{(x^2+2x+2)\sqrt{x+1}}\,}dx$
Evaluate $\displaystyle \int{\dfrac{1}{(2+3x^2)^\frac{3}{2}}\,}dx$
