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3 years ago

1.7.PS-6

Mathematics

1 answer:

EleoNora [17]3 years ago

4 0

Answer:africa

Step-by-step explanation:

science

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Exercise is mixed —some require integration by parts, while others can be integrated by using techniques discussed in the chapte

wlad13 [49]

Answer:

$\frac{2x^{\frac{7}{2}}}{7}+4x+c$

Step-by-step explanation:

We are asked to find the value of the indefinite integral $\int \:x^2\sqrt{x}+4\:dx$ .

Let us solve our given problem applying sum rule as:

$\int \:x^2\sqrt{x}\:dx+\int \:4\:dx$

$\int \:x^2*x^{\frac{1}{2}}\:dx+\int \:4\:dx$

$\int \:x^{\frac{4}{2}}*x^{\frac{1}{2}}\:dx+\int \:4\:dx$

$\int \:x^{\frac{5}{2}}\:dx+\int \:4\:dx$

Now, we will use power rule.

$=\frac{x^{\frac{5}{2}+1}}{\frac{5}{2}+1}}+4x+c$

$=\frac{x^{\frac{7}{2}}}{\frac{7}{2}}+4x+c$

$=\frac{2x^{\frac{7}{2}}}{7}+4x+c$

Therefore, our required integral would be $\frac{2x^{\frac{7}{2}}}{7}+4x+c$ .

7 0

3 years ago

Plz solve this question Its too much urgent

Sergeu [11.5K]

Standard form of the polynomial is $x^{7}-2 x^{6}-3 x^{5}+x^{2}+\sqrt{2} x+4$ .

Degree of the polynomial is 7.

Solution:

Given polynomial:

$x^{7}-3 x^{5}+\sqrt{2} x+x^{2}-2 x^{6}+4$

To write this polynomial in standard form:

$x^{7}-3 x^{5}+\sqrt{2} x+x^{2}-2 x^{6}+4$

Standard form of the polynomial is writing x from highest power to lowest power.

Therefore, standard form of the polynomial is

$x^{7}-2 x^{6}-3 x^{5}+x^{2}+\sqrt{2} x+4$

Degree of the polynomial:

The highest power of x in the polynomial is the degree of the polynomial.

Here, the highest power is 7.

Hence the degree of the polynomial is 7.

3 0

3 years ago

What is one possible answer when the number 1 is divided by a positive number larger than 1?

erastovalidia [21]

Answer:

1 / 2

Step-by-step explanation:

1 divided by 2 is 1/2

7 0

3 years ago

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A piece of stained glass in the shape of a right triangle has sides measuring 8 cm, 15 cm, and 17 cm. what is the area of the pi

mars1129 [50]

We know that

[area of triangle]=b*h/2
b=15 units
h=8 units
[area of triangle]=15*8/2---------> 60 units ²

see the attached figure

the answer is
60 units ²

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3 years ago

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Determine if the side lengths 12, 13, and 13 form a triangle. If it is a triangle, classify it by its sides.

Dima020 [189]

It would be isosceles, since two of the sides are equal. if none of the sides were equal, it would be scalene, and if all of the sides were equal, it would be equilateral.

5 0

3 years ago