MAT266_Test_1_rev - 1 MAT 266 Test 1 Review Techniques of integration and improper integrals sections 5.5 6.1-6.4 and 6.6 in Essential Calculus Early

# MAT266_Test_1_rev - 1 MAT 266 Test 1 Review Techniques of...

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1MAT 266 Test 1 ReviewTechniques of integration and improper integrals, sections 5.5, 6.1-6.4 and 6.6 inEssential Calculus, Early Transcendentals, 2ndEdition, by James Stewart.Find the following indefinite integrals (1-21).1.(lnx)55xdx2.2 sin(x)1 + cos2(x)dx3.3x+ 55x2-4x-1dx4.1x216-x2dx5.x25 +xdx6.10ze3zdz7.t6ln(t)dt8.2x2+ 6(x+ 1)(x2+ 1)dx9.x+ 1x2+ 1dx10.5xcos(2x)dx11.1x2x2-49dx12.2x+ 3x(x2-6x+ 9)dx13.cos2(3θ)14.sec7(x) tan3(x)dx15.sec4(t) tan2(t)dt16.cos3(x2)dx17.sin5(x) cos2(x)dx18.x3x2+ 1dx19.arctan(x)dx20.10(9 +x2)3/2dx21.sin-1(x)dxFind the exact value of the definite integrals (22-24).22.20(9-2t)3/2dt23.20ex1 +e2xdx24.30x4-x dx25. Find the average value of the given function on the given interval.)on [0,3]Use the table of integrals in the back of your textbook to find the following indefinite integrals (26-28):