Final answer to the problem
$\frac{3}{8}x^{8}+\frac{2}{3}x^{6}+3x+C_0$
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Step-by-step Solution
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- Integrate by partial fractions
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- Weierstrass Substitution
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- Integrate using basic integrals
- Product of Binomials with Common Term
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1
Expand the integral $\int\left(3x^7+4x^5+3\right)dx$ into $3$ integrals using the sum rule for integrals, to then solve each integral separately
Learn how to solve integrals of polynomial functions problems step by step online.
$\int3x^7dx+\int4x^5dx+\int3dx$
Learn how to solve integrals of polynomial functions problems step by step online. Integrate int(3x^7+4x^5+3)dx. Expand the integral \int\left(3x^7+4x^5+3\right)dx into 3 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int3x^7dx results in: \frac{3}{8}x^{8}. The integral \int4x^5dx results in: \frac{2}{3}x^{6}. The integral \int3dx results in: 3x.
Final answer to the problem
$\frac{3}{8}x^{8}+\frac{2}{3}x^{6}+3x+C_0$
