S Vx8 – 6x6 + 9x4 dx is equal to -

Q: x dx 25 + 4x2 32.

A:

Q: 1 dx /9x² + 4

A:

Q: 台)。 is dx x²+3x? 2. negative 2 over x cubed 213

A:

Q: dx Evaluate: 9 – x2 6,

A: folllow next step

Q: S. t. sv Š dx Jo 8+2x² 25-x²dx

A: (s). Given: I=∫25-x2dx   ...1   As we know the common integrals;…

Q: ?dx V4 -x² 2.

A: Given ∫x24-x2dx

Q: S(x) = 3x2 - 5x + 10 %3D df (2) =? dr

A: dfdx = 6x - 5df(2)dx = 6(2) - 5 = 12 - 5 = 7

Q: x°V16r6 – 24x³ + 9 dx .5

A:

Q: dx 2. S Vx2-4x-7

A:

Q: dx 4 2 x3 +x3

A:

Q: -| Vx³ + 16x² dx

A: Let I=∫x3+16x2 dx I=∫xx+16 dx Let assume x+16=t2⇒dx=2t dt I=∫(t2-16)t(2t) dt =2∫(t4-16t2)dt

Q: х — b dx /3 – x²

A: Given: I=∫x−b3−x2dx

Q: So dx VL-4X2

A:

Q: 7 x2 dx + 4x + 20 13

A:

Q: 2. xdy – ydx – Vx² + y² dx = 0²

A:

Q: I dx 66. x4 +1

A:

Q: 4 + x² dx 2

A:

Q: dx x2 + 6x + 25

A: This question is based on definite integral.

Q: 2 SE V4 – 9x² dx 3

A:

Q: S¥×(2x³ + 1)dx 3,

A:

Q: S (5+x>(4 - x2) dx (A 20x B 20x 20x D

A: The formula for integration is  ∫xndx=xn+1n+1+c

Q: S x dx √16-9x4

A: Topic = Integration

Q: dx a) S x²V2x+4

A: Use substitution method and fraction decomposition

Q: x dx 5- 4x2 .

A:

Q: S(10x* – 2csc?x) dx

A:

Q: x dx (7x2 + 3)

A:

Q: 1. y 10 – 2x6 dx

A:

Q: Sts dx 4+x4 4 4 V2

A: ∫54254  x4+x4dxlet   x2=t differntiate on both sides…

Q: - Trig Sub x5 dx (36x2 + 1)ž

A:

Q: dx 5+ x2

A: For knowledge purpose we will derive the general formula for such type of integration.

Q: V1+ x² dx 2.

A: Follow the procedure given below

Q: dx S 9x2+16

A: We have to solve integration.

Q: V25x² – 4 dx 8.

A:

Q: c. S(xeRx-5 +)dx 7 9-Rx

A:

Q: 3 x2 dx 4

A:

Q: |x°V16x6 – 24.x3 +9 dx -

A:

Q: (c) dx x2 – 4x + 13

A:

Q: da J 5—4г — 2:а? 5 – 4x 2.x 2

A:

Q: C) L d X 27+7x+12

A: We have to find the integrals of the given functions.

Q: P6: x2 dx 2 – 1

A: We have to solve given integration

Q: x² dx Vx3 + 41

A:

Q: dx x2 – 6x + 10

A: We can find the integration as below.

Q: S(7x³-5 √√x + 18 √x x3 + x−40 ) dx

A:

Q: 2 < 3x|x dx = 56 ,b فما قيمة b

A: Integral

Q: S(x) = 8x + 7 D(x) = 46 – 5x %3D

A:

Q: x dx J 7x2 + 3)5 (7>

A:

Q: 1. S(4csc?x – 3sec²x) dx 2. S 6xsin3x²dx

A:

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.