Question

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

Evaluate the following indefinite integral: ∫xe^2x dx

Answer #1

**(1)**

we can use trig substitution

we can plug back

and we get

**............Answer**

**(2)**

we are given

we can use integral by parts

we can plug this into integral by parts formula

**............Answer**

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

evaluate the integral ∫(x+2)/(x²+4) dx

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

Use integration by parts to evaluate the integral:
∫9xcos(−2x)dx

Using the limit process (NOT ANTIDERIVATIVE FORMULAS) evaluate:
integral^3 ↓0 of (2x^ 2 − 1)dx

Evaluate the following integral:
∫3x (divided
by)[(x(square)2+10x+30)]dx

1.You evaluate an indefinite integral and obtain the following
expression for an answer 1/5 sin(1+5x) + C. What was the integrand
of the indefinite integral that you evaluated?
2.You evaluate an indefinite integral and obtain the following
expression for an answer: -1/4(x^4 - 5) + C. What was the integrand
of the indefinite integral that you evaluated?

1. Evaluate the definite integral given
below.
∫(from 0 to π/3) (2sin(x)+3cos(x)) dx
2. Given F(x) below, find F′(x).
F(x)=∫(from 2 to ln(x)) (t^2+9)dt
3. Evaluate the definite integral given
below.
∫(from 0 to 2) (−5x^3/4 + 2x^1/4)dx

Find the indefinite integral. (Use C for the constant
of integration.)
x ln(3x) dx

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