Integral formulas are listed along with the classification based on the types of functions involved. Also, get the downloadable PDF of integral formulas for different functions like trigonometric functions, rational functions, etc.

Integrals of Logarithmic Functions. 2 ! i ⋅ i ! 5. Integrals of Trig. Functions.

Dec 16, 2024 · Check the formula sheet of integration. Topics include. Integration of Trigonometric Functions, Properties of Definite Integration are all mentioned here. Practice Basic Formula questions - Part 1 and Basic Formula questions - Part 2. Check Practice Questions. Where x 2 + bx + c can not be factorised further. Check Practice Questions.

Apr 5, 2025 · Integration Formulas are the basic formulas used to solve various integral problems. They are used to find the integration of algebraic expressions, trigonometric ratios, inverse trigonometric functions, and logarithmic and exponential functions.

Integral formulas allow us to calculate definite and indefinite integrals. Integral techniques include integration by parts, substitution, partial fractions, and formulas for trigonometric, exponential, logarithmic and hyperbolic functions.

Integration is the basic operation in integral calculus. While differentiation has straightforward rules by which the derivative of a complicated function can be found by differentiating its simpler component functions, integration does not, so tables of known integrals are often useful. This page lists some of the most common antiderivatives.

Integrals with Trigonometric Functions Z sinaxdx= 1 a cosax (63) Z sin2 axdx= x 2 sin2ax 4a (64) Z sinn axdx= 1 a cosax 2F 1 1 2; 1 n 2; 3 2;cos2 ax (65) Z sin3 axdx= 3cosax 4a + cos3ax 12a (66) Z cosaxdx=

Definite Integral Boundaries \int_{a}^{b}f(x)dx=F(b)-F(a) =\lim_{x\to b-}(F(x))-\lim _{x\to a+}(F(x)) Odd function \mathrm{If}\:f\left(x\right)=-f\left(-x\right)\Rightarrow\int _{-a}^{a}f(x)dx=0

The document provides a comprehensive list of integral formulas essential for calculus, including basic integrals such as ∫1 dx = x + C and ∫sin x dx = -cos x + C. It highlights the importance of these formulas alongside differentiation formulas. Additionally, a link is provided to download a PDF containing these integral formulas.

Integration formulas can be applied for the integration of algebraic expressions, trigonometric ratios, inverse trigonometric functions, and logarithmic and exponential functions. The integration of functions results in the original functions for which the derivatives were obtained.