Final answer to the problem
$\frac{x^{4}b}{4}+C_0$
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Step-by-step Solution
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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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1
The integral of a function times a constant ($b$) is equal to the constant times the integral of the function
Learn how to solve differential calculus problems step by step online.
$b\int x^3dx$
Learn how to solve differential calculus problems step by step online. Find the integral int(bx^3)dx. The integral of a function times a constant (b) is equal to the constant times the integral of the function. Apply the power rule for integration, \displaystyle\int x^n dx=\frac{x^{n+1}}{n+1}, where n represents a number or constant function, such as 3. Multiplying the fraction by b. As the integral that we are solving is an indefinite integral, when we finish integrating we must add the constant of integration C.
Final answer to the problem
$\frac{x^{4}b}{4}+C_0$
