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Exercise

$\int24x\:cos\left(2x\right)\:dx$

Step-by-step Solution

Learn how to solve integration by parts problems step by step online. Find the integral int(24xcos(2x))dx. The integral of a function times a constant (24) is equal to the constant times the integral of the function. We can solve the integral \int x\cos\left(2x\right)dx by applying integration by parts method to calculate the integral of the product of two functions, using the following formula. First, identify or choose u and calculate it's derivative, du. Now, identify dv and calculate v.
Find the integral int(24xcos(2x))dx

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Final answer to the exercise

$12x\sin\left(2x\right)+6\cos\left(2x\right)+C_0$

Try other ways to solve this exercise

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  • Integrate by partial fractions
  • Integrate by substitution
  • Integrate by parts
  • Integrate using tabular integration
  • Integrate by trigonometric substitution
  • Weierstrass Substitution
  • Integrate using trigonometric identities
  • Integrate using basic integrals
  • Product of Binomials with Common Term
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Main Topic: Integration by Parts

Integration by parts is an integration method that relates the integral of a product of two or more functions to the integral of their derivative and antiderivative.

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