Data Level Integration

Integration is one of the basic concepts in calculus. It is process of calculating the area of curves and anti-derivatives. In online, few websites are providing integration tutoring. In online, tutor will explain the integration problems and give solution for the given problems. In online, integration questions are available with answers. Integration topics are polynomial function, rational functions, continuity, etc. In this article we shall discuss for data level integration.



Sample Problem for Data Level Integration:

Data level integration problem 1:

Find out the integral value of the given expression with respect to 'x' int19x^4+13x^3dx

Solution:

Given:

int19x^4 +13x^3dx

We are going to find out the integrated value of the above equation. In the first step we separate the given terms, we get

= int19x^4+int13x^3dx

In the next step we integrate the above terms, we get

= 19intx^4+13intx^3dx

= (19x^5)/5+(13x^4)/4+c

Therefore the answer of the given equation is (19x^5)/5+(13x^4)/4+c

Data level integration problem 2:

Find out the integral value of the given exponential equation with respect to ‘x’ int15tanx + (e^-3^x) dx

Solution:

Given:

int15tanx + (e^-3^x) dx

We are going to find out the integration value of the above equation. In the first step we separate the given terms, we get

int15tanx + (e^-3^x) dx=int5tanx+int (e^-3^x) dx

= 15inttanx+int (e^-3^x) dx

In the next step we integrate the above terms, we get

= 15inttanx+int (e^-3^x) dx

= -15log (cos x) + (e^-3/-3) +c

Therefore the final answer of the given equation is -15log (cosx) + (e^-3/-3)+c



Data level integration problem 3:

Find out the integral value of the given expression with respect to 'x' int9x^4+3x^3dx

Solution:

Given:

Int9x^4 +3x^3dx

We are going to find out the integrated value of the above equation. In the first step we separate the given terms, we get

= int9x^4+int3x^3dx

In the next step we integrate the above terms, we get

= 9intx^4+3intx^3dx

= (9x^5)/5+(3x^4)/4+c

Therefore the answer of the given equation is (9x^5)/5+(3x^4)/4+c
Practice Problem for Data Level Integration:

Find out the integral value of the given expression with respect to ‘x’ int3x^3 + 9x^2dx

Answer:(3x^4)/4+(9x^3)/3+c

Find out the integral value of the given expression with respect to ‘x’ int7x^3 + 13x^2dx

Answer: (7x^4)/4+(13x^3)/3+c