\(\int (2x^2-3sinx+5\sqrt x)dx\)
= \(2 \int x^2dx-3 \int \sin xdx+5 \int x^{\frac{1}{2}}dx\)
= \(\frac{2x^3}{3}-3(- \cos x)+5 \bigg(\frac{x^{\frac{3}{2}}}{\frac{3}{2}}\bigg)+C\)
=\(\frac{2}{3}x^3+3\cos x+ \frac{10}{3}x^{\frac{3}{2}}+C\)
What is the Planning Process?
The representation of the area of a region under a curve is called to be as integral. The actual value of an integral can be acquired (approximately) by drawing rectangles.
Also, F(x) is known to be a Newton-Leibnitz integral or antiderivative or primitive of a function f(x) on an interval I.
F'(x) = f(x)
For every value of x = I.
Integral calculus helps to resolve two major types of problems: