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Step-by-step Solution

Solve the trigonometric integral $\int\cos\left(3\right)x^2xdx$

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ln
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asin
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Answer

$-\frac{59}{240}x^{4}+C_0$

Step-by-step explanation

Problem to solve:

$\int_{ }^{ }x^2\cos\left(3\right)xdx$
1

Calculating the cosine of $3$ degrees

$\int-\frac{59}{60}x^2xdx$
2

When multiplying exponents with same base you can add the exponents

$\int-\frac{59}{60}x^{3}dx$

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Answer

$-\frac{59}{240}x^{4}+C_0$
$\int_{ }^{ }x^2\cos\left(3\right)xdx$

Main topic:

Trigonometric integrals

Used formulas:

2. See formulas

Time to solve it:

~ 0.78 seconds