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θ не вставляется,заменила на х
![\int\limits^8_1 {(1-1/ \sqrt[3]{x}) } \, d x=x-3 \sqrt[3]{x} |^8_1=8-6-1+3=4 \int\limits^8_1 {(1-1/ \sqrt[3]{x}) } \, d x=x-3 \sqrt[3]{x} |^8_1=8-6-1+3=4](https://tex.z-dn.net/?f=+%5Cint%5Climits%5E8_1+%7B%281-1%2F+%5Csqrt%5B3%5D%7Bx%7D%29+%7D+%5C%2C+d+x%3Dx-3+%5Csqrt%5B3%5D%7Bx%7D+%7C%5E8_1%3D8-6-1%2B3%3D4)
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![\int\limits^2_1 {(x-2/x+1/x^2)} \, dx =x^2/2-2lnx-1/x|^2_1=2-2ln2-1/2-1/2+ \int\limits^2_1 {(x-2/x+1/x^2)} \, dx =x^2/2-2lnx-1/x|^2_1=2-2ln2-1/2-1/2+](https://tex.z-dn.net/?f=+%5Cint%5Climits%5E2_1+%7B%28x-2%2Fx%2B1%2Fx%5E2%29%7D+%5C%2C+dx+%3Dx%5E2%2F2-2lnx-1%2Fx%7C%5E2_1%3D2-2ln2-1%2F2-1%2F2%2B)
![2ln1+1=2-2ln2 2ln1+1=2-2ln2](https://tex.z-dn.net/?f=2ln1%2B1%3D2-2ln2)
24
φ заменила на х
![\int\limits^{ \pi /2}_0 {cosx} \, dx =sinx|^{ \pi /2}_0=1-0=1 \int\limits^{ \pi /2}_0 {cosx} \, dx =sinx|^{ \pi /2}_0=1-0=1](https://tex.z-dn.net/?f=+%5Cint%5Climits%5E%7B+%5Cpi+%2F2%7D_0+%7Bcosx%7D+%5C%2C+dx+%3Dsinx%7C%5E%7B+%5Cpi+%2F2%7D_0%3D1-0%3D1)
25
φ заменила на х
![\int\limits^ \pi _0 {sinx} \, dx =-cosx|^ \pi _0=-cosx|^ \pi _0=-(-1)+1=2 \int\limits^ \pi _0 {sinx} \, dx =-cosx|^ \pi _0=-cosx|^ \pi _0=-(-1)+1=2](https://tex.z-dn.net/?f=+%5Cint%5Climits%5E+%5Cpi+_0+%7Bsinx%7D+%5C%2C+dx+%3D-cosx%7C%5E+%5Cpi+_0%3D-cosx%7C%5E+%5Cpi+_0%3D-%28-1%29%2B1%3D2)
26
![\int\limits^{ \pi /4}_0 2/cos^2t} \, dt=2tgt|^{ \pi /4}_0=2*1-2*0=2 \int\limits^{ \pi /4}_0 2/cos^2t} \, dt=2tgt|^{ \pi /4}_0=2*1-2*0=2](https://tex.z-dn.net/?f=+%5Cint%5Climits%5E%7B+%5Cpi+%2F4%7D_0+2%2Fcos%5E2t%7D+%5C%2C+dt%3D2tgt%7C%5E%7B+%5Cpi+%2F4%7D_0%3D2%2A1-2%2A0%3D2)
27
θ заменила на х
![\int\limits^{ \pi /2}_{ \pi /4} {2/sin^2x} \, dx =-2ctgx|^{ \pi /2}_{ \pi /4}=-2*0+2*1=2 \int\limits^{ \pi /2}_{ \pi /4} {2/sin^2x} \, dx =-2ctgx|^{ \pi /2}_{ \pi /4}=-2*0+2*1=2](https://tex.z-dn.net/?f=+%5Cint%5Climits%5E%7B+%5Cpi+%2F2%7D_%7B+%5Cpi+%2F4%7D+%7B2%2Fsin%5E2x%7D+%5C%2C+dx+%3D-2ctgx%7C%5E%7B+%5Cpi+%2F2%7D_%7B+%5Cpi+%2F4%7D%3D-2%2A0%2B2%2A1%3D2)
28
![\int\limits^{ \pi /2}_{- \pi /2} {2/3*cost} \, dt=2/3*sint|^{ \pi /2}_{- \pi /2}=2/3*1+2/3*1=4/3 \int\limits^{ \pi /2}_{- \pi /2} {2/3*cost} \, dt=2/3*sint|^{ \pi /2}_{- \pi /2}=2/3*1+2/3*1=4/3](https://tex.z-dn.net/?f=+%5Cint%5Climits%5E%7B+%5Cpi+%2F2%7D_%7B-+%5Cpi+%2F2%7D+%7B2%2F3%2Acost%7D+%5C%2C+dt%3D2%2F3%2Asint%7C%5E%7B+%5Cpi+%2F2%7D_%7B-+%5Cpi+%2F2%7D%3D2%2F3%2A1%2B2%2F3%2A1%3D4%2F3+)
θ не вставляется,заменила на х
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φ заменила на х
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φ заменила на х
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