∫(t4​−t23​)dt 3. ∫(6x−5)dx 4. ∫xx2+1​dx 5. ∫3secθtanθdθ 0. ∫(r2+π⋅r3)dr ∫(ex+x5​)dx 3. ∫(3cosϕ+3ϕ​)dϕ Evaluate the follo

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∫(t4​−t23​)dt 3. ∫(6x−5)dx 4. ∫xx2+1​dx 5. ∫3secθtanθdθ 0. ∫(r2+π⋅r3)dr ∫(ex+x5​)dx 3. ∫(3cosϕ+3ϕ​)dϕ
Evaluate the following definite integrals by matching each of the numbered items in the list with the numbers in the drop-down menus: 21​ln3 −2249​ ⋯−235​ ln26​ 1−33​​ 1. ∫−23​xx2−4x​dx 2. 3π​ ∫4π​3π​​csc2θdθ 3. 3 ∫13​2xdx 4. ∫021​​1−x21​dx 5. ∫1e​t1​ dt 6. ∫−2π​2π​​3sinxdx 7. 3 ∫25​(3x−4x2)dx
The velocity of a particle moving along a line is 2t meters per second. Find the distance traveled in meters during the time interval 1≤t≤3 3 2 9 5 7 8 4 6