$MathMaster logo$

MathMaster

Home
general
solve the following indefinite integral 5x 4 e 3x 2 x 1 dx

Question

Solve the following indefinite integral: ∫▒(5x^4+e^(-3x)-2/x-1)dx

99

likes

493 views

Answer to a math question Solve the following indefinite integral: ∫▒(5x^4+e^(-3x)-2/x-1)dx

$Expert avatar$

4.5

99 Answers

$\int{ 5{x}^{4}+\frac{ 1 }{ {e}^{3x} }-\frac{ 2 }{ x }-1 } \mathrm{d} x$

$\int{ 5{x}^{4} } \mathrm{d} x+\int{ \frac{ 1 }{ {e}^{3x} } } \mathrm{d} x-\int{ \frac{ 2 }{ x } } \mathrm{d} x-\int{ 1 } \mathrm{d} x$

${x}^{5}+\int{ \frac{ 1 }{ {e}^{3x} } } \mathrm{d} x-\int{ \frac{ 2 }{ x } } \mathrm{d} x-\int{ 1 } \mathrm{d} x$

${x}^{5}-\frac{ 1 }{ 3{e}^{3x} }-\int{ \frac{ 2 }{ x } } \mathrm{d} x-\int{ 1 } \mathrm{d} x$

${x}^{5}-\frac{ 1 }{ 3{e}^{3x} }-2\ln\left({|x|}\right)-\int{ 1 } \mathrm{d} x$

${x}^{5}-\frac{ 1 }{ 3{e}^{3x} }-2\ln\left({|x|}\right)-x$

$\begin{array} { l }{x}^{5}-\frac{ 1 }{ 3{e}^{3x} }-2\ln\left({|x|}\right)-x+C,& C \in ℝ\end{array}$

Frequently asked questions (FAQs)

What is the value of sin(45°) + 2cos(30°) - tan(60°) + cot(90°)?

+

What is the length of a side opposite to a 60-degree angle in a triangle with side lengths 5 and 7?

+

What are the two solutions to the quadratic equation 2x^2 + 5x - 3 = 0?

+

New questions in Mathematics

Hey👋🏻 Tap "Create New Task" to send your math problem. One of our experts will start working on it right away!

a ferry travels 1/6 of the distance between two ports in 3/7 hour. the ferry travels at a constant rate. at this rate, what fraction of the distance between the two ports can the ferry travel in one hour?

Find the equation of the normal to the curve y=x²+4x-3 at point(1,2)

Determine the correct value: A company knows that invoices pending collection have a normal distribution with a mean of $1.65 million, with a standard deviation of $0.2 million, then: The probability that an invoice pending collection has an amount that is within more than 2 deviations below the mean, is:

By differentiating the function f(x)=(x³−6x)⁷ we will obtain

An electrical company manufactures batteries that have a duration that is distributed approximately normally, with a mean of 700 hours and a standard deviation of 40 hours. Find the probability that a randomly selected battery has an average life of less than 810 hours.

Suppose 56% of politicians are lawyers if a random sample of size 873 is selected, what is the probability that the proportion of politicians who are lawyers will be less than 55% round your answer to four decimal places

A soft drink machine outputs a mean of 23 ounces per cup. The machines output is normally distributed with a standard deviation of 3 ounces. What is the probability of filling a cup between 26 and 28 ounces round your answer to four decimal places

calculate the normal vector of line y = -0.75x + 3

The ninth term of a given geometric progression, with reason q , is 1792, and its fourth term is 56. Thus, calculate the fourth term of another geometric progression, whose ratio is q +1 and whose first term is equal to the first term of the first P.G. described.

The function h(t)=-5t^2+20t+60 models the height in meters of a ball t seconds after it’s thrown . Which describe the intercepts and vertex of this function

Find the center coordinates and radius of a circle for an equation written as: 3x2 + 3y2 - 6y = —12× + 24

Sabendo+que+o+tri%C3%A2ngulo+ABC+%C3%A9+ret%C3%A2ngulo+e+que+um+de+seus+%C3%A2ngulos+mede+30+quanto+mede+o+terceiro+ tri%C3%A2ngulo

7.57 Online communication. A study suggests that the average college student spends 10 hours per week communicating with others online. You believe that this is an underestimate and decide to collect your own sample for a hypothesis test. You randomly sample 60 students from your dorm and find that on average they spent 13.5 hours a week communicating with others online. A friend of yours, who offers to help you with the hypothesis test, comes up with the following set of hypotheses. Indicate any errors you see. H0 :x ̄<10hours HA : x ̄ > 13.5 hours

A company made 150,000 in the first year 145,000 in the second 140,000 in the third year successively during the first decade of this company's existence it made a total of

Let G be the center of gravity of triangle ABC. We draw through A a parallel to BC on which we take a point D so that DG⊥BG. If the area of the quadrilateral AGBD is equal to s, show that AC·BD≥2·s.

Solve for z: 2z-6=10z+2

Today a father deposits $12,500 in a bank that pays 8% annual interest. Additionally, make annual contributions due of $2,000 annually for 3 years. The fund is for your son to receive an annuity and pay for his studies for 5 years. If the child starts college after 4 years, how much is the value of the annuity? solve how well it is for an exam

Write an equation of the affine function whose graph is perpendicular to the graph of f(x) = 5x − 1 and passes through the point (5, 20).