Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Find the integral
- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Prove from LHS (left-hand side)
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Find the integral
Learn how to solve integral calculus problems step by step online.
$\int\left(3x\cos\left(x^2\right)+x\cos\left(x^2\right)\right)dx$
Learn how to solve integral calculus problems step by step online. Find the integral of 3xcos(x^2)+xcos(x^2). Find the integral. Combining like terms 3x\cos\left(x^2\right) and x\cos\left(x^2\right). The integral of a function times a constant (4) is equal to the constant times the integral of the function. We can solve the integral \int x\cos\left(x^2\right)dx by applying integration by substitution method (also called U-Substitution). First, we must identify a section within the integral with a new variable (let's call it u), which when substituted makes the integral easier. We see that x^2 it's a good candidate for substitution. Let's define a variable u and assign it to the choosen part.