This post is about worksheet of integration by substitutions. It also one of most important concept of integral calculus . The function ƒ(φ(t))φ′(t) is also integrable on [a,b] integration by substitution
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Category: IB/Cambridge
integration by algebraic substitutions
This post is about worksheet of integration by algebraic substitutions. It also one of most important concept of integral calculus . The function ƒ(φ(t))φ′(t) is also integrable on [a,b] Integration by substitution
Integration of Trigonometric Function
This post is about worksheet of Integration of trigonometric functions. It also one of most important concept of integral calculus . The function ƒ(φ(t)) is also integrable on [a,b] Integration of trigonometric function
Integration of Radicals
This post about integration of polynomial with fractional power. First of all simplify expression also surds and then apply integration rule. Due to presence of constant it will give general solution. Integration
Trigonometric Identity
Trigonometric identities showing that the identity is always true, no matter what value of x or θ is used. Because it has to hold true for all values of x, we cannot simply substitute in a few values of x to “show” that they are equal. We have to use logical steps to show that one […]
Trigonometric Equation
Solving trigonometric equations use both the reference angles and trigonometric identities The general method of solving an equation is to convert it into the form of one ratio only. Then, using these results, hence, we can obtain solutions. Trigonometric Equation
Completing Square form
Completing form is to solve a quadratic equation by changing the form of the equation so that the left side is a perfect square trinomial. Completing the square is a technique for converting a quadratic polynomial of the form ax2 + bx + c to a(x-b)2+c. Hence this method is used to convert. Similarly it use to […]
Integration of Polynomials
In integration the power of polynomials increase like quadratic become cubic etc. As well as get integration constant . It always give general solution due to integration constant. Integration
Partial Fraction(Advance)
Partial Fractions are used to decompose a given fraction simpler fractions. Hence, if I am given a single complicated fraction, my goal is to break it down into a series of “smaller” components or parts. Another we can say it is decomposition. Partial fraction
Riemann Sum
A Riemann sum is an approximation of a region’s area. It obtained by adding up the areas of multiple simplified slices of the region. It is applied in calculus to determine the area of a region. Hence it give approximate area of region. It is also give right and left sum. Riemann Sums
