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Exercise

$\int\left(\left(x+5\right)\cos\left(x\right)\right)dx$

Step-by-step Solution

Learn how to solve integration by parts problems step by step online. Find the integral int((x+5)cos(x))dx. We can solve the integral \int\left(x+5\right)\cos\left(x\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. Solve the integral to find v.
Find the integral int((x+5)cos(x))dx

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Final answer to the exercise

$x\sin\left(x\right)+5\sin\left(x\right)+\cos\left(x\right)+C_0$

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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