Question

Integrate these

(1) Integral 1/[(ax)^{2}- b^{2}]^{3/2}
dx

(2) Integral (x^{2} - 2x - 1) / (x -
1)^{2}(x^{2} + 1) dx

I would be very thankful if the answer is back with solution within 30mins

Thank you in advance

Answer #1

3. Integrate using partial fractions (Lesson 8) integral 2 to 1
(x^4 + 1)/x(x2 + 1)^2 dx (With explanation please!!)

1. the integral of 0 to 1 of (x) / (2x+1)^3 dx
2. the integral of 2 to 4 of (x+2) / (x^2+3x-4) dx

1. Integral sin(x+1)sin(2x)dx
2.Integral xe^x dx
3. integral ln sqrt(x) dx
4. integral sqrt(x) lnx dx

Integrate the following with respect to their variable
1. (11-3x) / x2+2x-3
2. (2x2-9x-35) / (x+1)(x-2)(x+3)
3. 1/(x2+121)

evaluate the indefinite integral (1+2x)/(1+x^2) dx

Integral of (2x - 1)^3 dx

Evaluate the following indefinite integral: ∫x^2/√(16+x^2
)dx
Evaluate the following indefinite integral: ∫xe^2x dx

What is the antiderivative of this integral?
∫(dx/(a2+x2)3/2, where a is a
constant.
a) -1/[a²√(a²+x²)]
b) -x/√(a²+x²)
c) x/[a²√(a²+x²)]
d) -1/√(a²+x²)

Find the particular integral of the differential equation
d2y/dx2 + 3dy/dx + 2y = e −2x
(x + 1). show that the answer is yp(x) = −e −2x ( 1/2
x2 + 2x + 2)

integrate (x^3)/(x^2-16)^(3/2)dx

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