What is the simples way to integrate by part?
In a case of integral that you want to integrate once using technique "by parts" you have to divide your integral into two functions.Working on an example, f(x)=x sinxLet g(x)=x and h'(x)= sin x Then we integrate the derivative of a smaller function and we find the derivative of a normal funtion.x'=1 and h(x)= -cos(x)The result of this function is -cos(x)x - integral of 1*(-cos (x)).
Then we have-cos(x)x +integral of cos(x)
-cos(x)x +sin(x)
And this is our final answer
MK
Related Maths IB answers
All answers ▸The quadratic equation x^2 - 2kx + (k - 1) = 0 has roots α and β such that α^2 + β^2 = 4. Without solving the equation, find the possible values of the real number k.
How does proof by induction work?
How do you calculate the probability P(X < x) for a normally distributed random variable X?
How do I solve the equation "2cos(x) = sin(2x), for 0 ≤ x ≤ 3π"?