Final answer to the problem
$3t^2x+\frac{tx}{2}+C_0$
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Step-by-step Solution
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- Integrate by partial fractions
- Integrate by substitution
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- Weierstrass Substitution
- Integrate using trigonometric identities
- Integrate using basic integrals
- Product of Binomials with Common Term
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1
Expand the integral $\int\left(3t^2+\frac{t}{2}\right)dx$ into $2$ 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.
$\int3t^2dx+\int\frac{t}{2}dx$
Learn how to solve integrals of polynomial functions problems step by step online. Integrate the constant function int(3t^2+t/2)dx. Expand the integral \int\left(3t^2+\frac{t}{2}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int3t^2dx results in: 3t^2x. The integral \int\frac{t}{2}dx results in: \frac{tx}{2}. Gather the results of all integrals.
Final answer to the problem
$3t^2x+\frac{tx}{2}+C_0$
