Selesaikan ∫ 7x+8 wrt x | Microsoft Math Solver

Evaluasi

\frac{7 x ^{2}}{2} + 8 x + С

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Langkah Solusi

\int 7 x + 8 d x

Integrasikan jumlah suku demi suku.

\int 7 x d x + \int 8 d x

Faktorkan konstanta pada setiap suku.

7 \int x d x + \int 8 d x

Sejak

\int x^{k} d x = \frac{x ^{k + 1}}{k + 1}

untuk

k \neq = - 1

, ganti

\int x d x

dengan

\frac{x ^{2}}{2}

. Kalikan

7

kali

\frac{x ^{2}}{2}

.

\frac{7 x ^{2}}{2} + \int 8 d x

Temukan integral dari

8

menggunakan tabel aturan integral umum

\int a d x = a x

.

\frac{7 x ^{2}}{2} + 8 x

Jika

F (x)

adalah antiderivatif dari

f (x)

, maka himpunan semua antiderivatives dari

f (x)

diberikan oleh

F (x) + C

. Oleh karena itu, tambahkan konstanta

C \in R

integrasi ke hasil.

\frac{7 x ^{2}}{2} + 8 x + С

Diferensial w.r.t. x

7 x + 8

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Grafik

Kuis

5 soal serupa dengan:

\int 7 x + 8 d x

Soal yang Mirip dari Pencarian Web

How do you evaluate the definite integral

\int (2 x + 2) d x

[- 3, 1]

https://socratic.org/questions/how-do-you-evaluate-the-definite-integral-int-2x-2-dx-from-3-1

0

Explanation: Integrate each term using the

power rule for integration

Reminder (\overline{\underline{∣ ∣ ∣ ∣ ∣ (\frac{2}{2}) (\int a x^{n} d x = \frac{a}{n + 1} x^{n + 1}) (\frac{2}{2}) ∣ ∣ ∣ ∣ ∣}})

How do you evaluate the definite integral by the limit definition given

\int (2 x + 5) d x

https://socratic.org/questions/how-do-you-evaluate-the-definite-integral-by-the-limit-definition-given-int-2x-5

Jim H Feb 25, 2017 Here is a limit definition of the definite integral. (I hope it's the one you are using.) .

\int_{a}^{b} f (x) d x = n \to \infty lim i = 1 \sum n f (x_{i}) Δ x

How do you evaluate the integral

\int 8 x + 3 d x

https://socratic.org/questions/how-do-you-evaluate-the-integral-int8x-3-dx

Michael B. · Becca M. · Amory W. Sep 2, 2014 When taking integrals, you will normally solve them one term at a time. You will do the inverse of the power rule so the answer would be:

F (x) = 4 x^{2} + 3 x + C

\int x + 1 d x

u

-substition gives wrong answer.

https://math.stackexchange.com/questions/2421968/integrating-int-x1-dx-using-u-substition-gives-wrong-answer

If you expand your second answer, you get

\frac{( x + 1 ) ^{2}}{2} = \frac{x ^{2}}{2} + x + \frac{1}{2} .

This differs from the "correct" answer by a constant. But if two functions differ by a constant, ...

How do you use limits to evaluate

\int (x + 2) d x

https://socratic.org/questions/how-do-you-use-limits-to-evaluate-int-x-2-dx-from-1-4

Perform the integration as if the integral were indefinite but without a constant of integration. Subtract the expression evaluated at the lower limit from the expression evaluated at the upper ...

How do you integrate

\int (x + 3) d x

https://socratic.org/questions/how-do-you-integrate-int-x-3-dx

\frac{1}{2} x^{2} + 3 x + c

Explanation: Integrate each term using the

power rule for integration

Reminder (\overline{\underline{∣ ∣ ∣ ∣ ∣ (\frac{2}{2}) (\int (a x^{n}) d x = \frac{a}{n + 1} x^{n + 1}) (\frac{2}{2}) ∣ ∣ ∣ ∣ ∣}})

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\int 7x\mathrm{d}x+\int 8\mathrm{d}x

Integrasikan jumlah suku demi suku.

7\int x\mathrm{d}x+\int 8\mathrm{d}x

Faktorkan konstanta pada setiap suku.

\frac{7x^{2}}{2}+\int 8\mathrm{d}x

Sejak \int x^{k}\mathrm{d}x=\frac{x^{k+1}}{k+1} untuk k\neq -1, ganti \int x\mathrm{d}x dengan \frac{x^{2}}{2}. Kalikan 7 kali \frac{x^{2}}{2}.

\frac{7x^{2}}{2}+8x

Temukan integral dari 8 menggunakan tabel aturan integral umum \int a\mathrm{d}x=ax.

\frac{7x^{2}}{2}+8x+С

Jika F\left(x\right) adalah antiderivatif dari f\left(x\right), maka himpunan semua antiderivatives dari f\left(x\right) diberikan oleh F\left(x\right)+C. Oleh karena itu, tambahkan konstanta C\in \mathrm{R} integrasi ke hasil.

Contoh

Persamaan kuadrat

x^{2} - 4 x - 5 = 0

4 sin θ cos θ = 2 sin θ

Persamaan linear

y = 3 x + 4

699 * 533

[2534] [2 - 1 0135]

Persamaan simultan

{8 x + 2 y = 46 7 x + 3 y = 47

\frac{d}{d x} \frac{( 3 x ^{2} - 2 )}{( x - 5 )}

\int_{0}^{1} x e^{- x^{2}} d x

x \to - 3 lim \frac{x ^{2} - 9}{x ^{2} + 2 x - 3}