Express the integrand as a sum of partial fractions and evaluate the integral. + 26y + 169 -dy 2 + 169) + 26y + 169 dy = O (? + 169)² 2

Q: express the integrand as a sum of partial fractionsand evaluate the integrals. ∫ x2/x4 - 1 dx

A: ∫x2x4−1dxFirst we factorx4−1=(x2)2−(1)2                                        =(x2−1)(x2+1)…

Q: express the integrand as a sum of partial fractionsand evaluate the integrals. ∫ dx/x2 + 2x

A: We write the integrand using partial decomposition

Q: x² + x – 2 (3x – 1)(x² + 1)

A:

Q: Evaluate the integral. 7y 1-7y dy

A:

Q: Find the partial integral. + 3y?) dy t.

A: Given that a  integration and we solve this integration by using general formulas of integration. We…

Q: Use the substitution formula to evaluate the integral. 2t dt -1

A:

Q: dx (x² - 1)²

A:

Q: express the integrand as a sum of partial fractionsand evaluate the integrals. ∫ dx/(x2 - 1)2

A: Using partial sum we get:

Q: Express the integrand as a sum of partial fractions and evaluate the integral. 22dx S 2 x²-1

A: This question is based on indefinite integral using partial fraction.

Q: Express the integrand as a sum of partial fractions and evaluate the integrals. x+ 4 dx x+ 5x- 6…

A:

Q: Express the integral as an infinite sum. | In (1 + 1') dt, |x| < 1 0,

A:

Q: Estimate the integral f, dx using a left-hand Riemann sum and 4 2

A:

Q: Evaluate the following integral. dx V25x2 - 36 dx 25x2 - 36

A: Given integral is This integral can not be evaluated by using partial fractions. We evaluate the…

Q: express the integrand as a sum of partial fractionsand evaluate the integrals. ∫ y dy/ y2 - 2y - 3

A: First, we factor the denominator Then we use the partial decomposition

Q: SVA- 4-y² √8-x²-y2² z² dzdxdy. √x²+y²

A:

Q: Express the given integrand as a sum of partial fractions, then evaluate the integrals. 1 2y +9 dy…

A:

Q: express the integrand as a sum of partial fractionsand evaluate the integrals. ∫ y2 + 2y + 1/(y2 +…

A: To express the integrand as a sum of partial fractions and evaluate the integral. ∫y2+2y+1y2+12dy

Q: Evaluate the following integral using partial fraction x* – 2x2 + 4x + 1 х3 — х2 — х + 1 -

A: We will find the integral using partial fraction  as following.

Q: Express the integrand as a sum of partial fractions and then evaluate the integral. dx 4 х —1

A:

Q: Evaluate the integral by algebraio substitution then partial fractions: * 1 dw. w + 2/1 – w +2

A:

Q: express the integrand as a sum of partial fractionsand evaluate the integrals. ∫ 1/x4 + x dx

A: Given         ∫1x4+xdx

Q: 2 *y dydx 2xye y dxdy +

A: Evaluate the sum of integrals

Q: Evaluate the integral. 4 | VE(6 + 2t) dt

A: use distributive property on function and integrate it.

Q: Use partial fractions to find the exact value of the following integral 31² +3 23 + 3x

A: First do partial fraction then do integration

Q: Evaluate the integral. 5 (2 + 2y)2 dy   4

A: Integrate the following function

Q: Express the given integrand as a sum of partial fractions, then evaluate the integrals. 3y + 4 dy…

A: Given integral is ∫1213y+4y2+ydy

Q: Express the integrand as a sum of partial fractions and evaluate the integrals. x+9 S: -dx 2x³ - 8x

A: To express the integrand as a sum of partial fractions and to evaluate the integrals.∫x+92x3-8x dx

Q: 9 dx. +x – 20 х2

A:

Q: Evaluate the integral by Partial Fractions 6x? – 3x dx. (x – 2) (x + 4)

A: To integrate ∫6x2-3x(x-2)(x+4)dx, take the partial fraction of ∫6x2-3x(x-2)(x+4)dx and obtain…

Q: Express the given integrand as a sum of partial fractions, then evaluate the integrals. 1 Зу+4 dy y…

A: Given: A function ∫1/213y+4y2+ydy Simplify using partial fractions:…

Q: Evaluate the integral. 2 Ỉ -1 7t sec ¯¹t dt 2/√√3 2 7t sec¹t dt =

A:

Q: Express the integrand as a sum of partial fractions and evaluate the integral. y² + 6y + 9 -dy (?…

A: Solved below

Q: Express the integrand as a sum of partial Praetious and evalnare the integral

A:

Q: Express the integrand as a sum of partial fractions and then evaluate the integral. -dx x'-1

A: We have to calculate the integral.

Q: Consider S integral can be written as of A, B, and C. 6 O 5 14/3 O 17/6 3x5 3x4+6x3-3x2 - 6x √(x-1…

A:

Q: dt 1³ +1²-2t

A:

Q: In3 xp;

A:

Q: Express the given integrand as a sum of partial fractions, then evaluate the integrals. 1 2y + 6 -dy…

A:

Q: express the integrand as a sum of partial fractionsand evaluate the integrals. ∫ x3 dx/x2 - 2x + 1

A: Given: I=∫x3dxx2-2x+1 for evaluating given integral, we simplify given expression as below…

Q: Let m and n be positive integers and a+ 0. Using partial integrals, show that 1 x"ea# dx = -x"eª* n…

A:

Q: Evaluate the integral using partial fractions: ∫ 10 / (x-1)(x2+9) dx

A: Solution:To evaluate the integralLet I=∫10x-1x2+9dxFormula:∫f'(x)f(x)dx=ln f(x)+C

Q: Find the partial integral. Y dy

A:

Q: Evaluate the integral AP R = [0, 2] x [2, 4] × [-1, 1]. (y + z)2

A: As per the instruction, we will be solving only the first one.…

Q: 9 Express the in tegrand ar a sum of parhal fraction and evaluate tte ntegral. %3D XXXH)

A: ∫2dxx(x+1)

Q: Express the integrand as a sum of partial fractions and evaluate the integrals ∫ 1/ x^3/2-√x dx…

A: Given:∫dxx3/2-x1/2

Q: Express the given integrand as a sum of partial fractions, then evaluate the integrals. 1 2y +6 dy…

A: We first calculate the integral without limits. After partial fraction we apply the limits.