Mth 252 week 5

definite integral

100

the integral from 0 to 4 of (3t³ - t^1/2)/t dt

What is 60

200

The integral of -2 to 7 of x²+3x dx

What is 184.5

300

The integral from 0 to pi/2 of sin(2z)-3cos(3z) dz

What is 2

400

The integral from -1 to 1 of 1/5*e^5xdx

what is e⁵/25 - 1/25e⁵

indefinite integrals

100

The integral of 1/x² dx

what is -1/x+C

200

The integral of tan³(x)sec⁵(x)dx

what is sec⁷(x)/7-sec⁵(x)/5+C

300

Bonus: Daily Double, the integral for the ln(x)dx

what is xln(x)-x+C

400

The integral of 1/x+3x⁷+x²-cos(x)

What is ln|x|+3x⁸/8+x³/3-sin(x)+C

u-sub

100

The integral of ln(x)/x dx

what is ln²(x)/2 + C

200

The integral from 0 to 1 of x(1-x²)^1/2dx

what is 1/3

300

The integral of sin⁴(x)cos⁵(x)dx using u-sub

what is sin⁵(x)/5-2sin⁷(x)/7+sin⁹(x)/9+C

400

The integral from 0 to 3pi/2 of -5xcos(2x²)dx

What is -5/4(sin(9pi²/4)